W. A. Kirk

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All published works
Action Title Year Authors
+ Approximate fixed points in metric spaces 2024 Rafael EspıĢnola
W. A. Kirk
+ PDF Chat Orbital fixed point conditions in geodesic spaces 2020 W. A. Kirk
Naseer Shahzad
+ Hyperbolic spaces and directional contractions 2019 W. A. Kirk
Naseer Shahzad
+ Normal structure and orbital fixed point conditions 2018 W. A. Kirk
Naseer Shahzad
+ PDF Chat Remarks on Pasickiā€™s abstract metric spaces and Lifshitsā€™s constant 2017 W. A. Kirk
Naseer Shahzad
+ Fixed points of locally nonexpansive mappings in geodesic spaces 2016 W. A. Kirk
Naseer Shahzad
+ PDF Chat Continuation methods in certain metric and geodesic spaces 2016 W. A. Kirk
Naseer Shahzad
+ FIXED-POINT THEOREMS FOR CERTAIN CLASSES 2016 L. P. Belluce
W. A. Kirk
+ PDF Chat Metric fixed point theory: a brief retrospective 2015 W. A. Kirk
+ Fixed points and Cauchy sequences in semimetric spaces 2015 W. A. Kirk
Naseer Shahzad
+ PDF Chat Erratum to: Generalized metrics and Caristiā€™s theorem 2014 W. A. Kirk
Naseer Shahzad
+ PDF Chat Metric fixed point theory for nonexpansive mappings defined on unbounded sets 2014 Maryam A Alghamdi
W. A. Kirk
Naseer Shahzad
+ Locally nonexpansive mappings in geodesic and length spaces 2014 Maryam A Alghamdi
W. A. Kirk
Naseer Shahzad
+ Fixed points and best approximation in arcwise connected spaces 2014 Naseer Shahzad
W. A. Kirk
Maryam A Alghamdi
+ Busemann Spaces and Hyperbolic Spaces 2014 W. A. Kirk
Naseer Shahzad
+ The G-Spaces of Busemann 2014 W. A. Kirk
Naseer Shahzad
+ Length Spaces and Local Contractions 2014 W. A. Kirk
Naseer Shahzad
+ b-Metric Spaces 2014 W. A. Kirk
Naseer Shahzad
+ CAT(0) Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Hyperconvex Metric Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Partial Metric Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Generalized Metric Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Ptolemaic Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Ultrametric Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Caristiā€™s Theorem and Extensions 2014 W. A. Kirk
Naseer Shahzad
+ Fixed Point Theory in Distance Spaces 2014 W. A. Kirk
Naseer Shahzad
+ Nonexpansive Mappings and Zermeloā€™s Theorem 2014 W. A. Kirk
Naseer Shahzad
+ PDF Chat Generalized metrics and Caristiā€™s theorem 2013 W. A. Kirk
Naseer Shahzad
+ PDF Chat Remarks on metric transforms and fixed-point theorems 2013 W. A. Kirk
Naseer Shahzad
+ PDF Chat Remarks on the stability of the fixed point property for nonexpansive mappings 2012 Krzysztof Bolibok
Kazimierz Goebel
W. A. Kirk
+ Some fixed point results in ultrametric spaces 2012 W. A. Kirk
Naseer Shahzad
+ Some Thoughts on Polish Contributions to Fixed Point Theory 2012 W. A. Kirk
+ One-local retracts and Banach operator pairs in metric spaces 2012 Nawab Hussain
Mohamed A. Khamsi
W. A. Kirk
+ Remarks on approximate fixed points 2011 W. A. Kirk
+ PDF Chat A Note on Geodesically Bounded "Equation missing" <!-- No EquationSource Format="TEX", only image -->-Trees 2010 W. A. Kirk
+ On uniformly Lipschitzian multivalued mappings in Banach and metric spaces 2009 Mohamed A. Khamsi
W. A. Kirk
+ PDF Chat Erratum to: Best Approximation in ā„-Trees [Numer. Funct. Anal. Optimiz. 28(5ā€“6):681ā€“690, 2007] 2009 W. A. Kirk
Bancha Panyanak
+ FIXED POINT THEOREMS IN CAT(0) SPACES AND R-TREES 2009 W. A. Kirk
+ PDF Chat Remarks on best approximation in R-trees 2009 W. A. Kirk
Bancha Panyanak
+ Some problems in metric fixed point theory 2008 Kazimierz Goebel
W. A. Kirk
+ FIXED POINTS FOR MAPPINGS SATISFYING CYCLICAL CONTRACTIVE CONDITIONS 2008 W. A. Kirk
P. S. Srinivasan
P. Veeramani
+ Asymptotic pointwise contractions 2007 W. A. Kirk
Hongā€“Kun Xu
+ Some recent results in metric fixed point theory 2007 W. A. Kirk
+ Best Approximation in ā„-Trees 2007 W. A. Kirk
Bancha Panyanak
+ A concept of convergence in geodesic spaces 2007 W. A. Kirk
Bancha Panyanak
+ Locally nonexpansive mappings in Banach spaces 2006 W. A. Kirk
+ Fixed point theory for nonexpansive mappings 2006 W. A. Kirk
+ Fixed Points of Uniformly Lipschitzian Mappings in Metric spaces 2006 Sompong Dhompongsa
W. A. Kirk
Brailey Sims
+ Nonexpansive mappings defined on unbounded domains 2006 Anchalee Kaewcharoen
W. A. Kirk
+ PDF Chat Proximinality in geodesic spaces 2006 Anchalee Kaewcharoen
W. A. Kirk
+ Fixed points of uniformly lipschitzian mappings 2005 Sompong Dhompongsa
W. A. Kirk
Brailey Sims
+ Fixed point theorems in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math>-trees with applications to graph theory 2005 Rafael EspıĢnola
W. A. Kirk
+ PDF Chat Proximal normal structure and relatively nonexpansive mappings 2005 A. Anthony Eldred
W. A. Kirk
P. Veeramani
+ Fixed point theorems in "Equation missing" spaces and "Equation missing" -trees 2004 W. A. Kirk
+ An ultrafilter approach to locally almost nonexpansive maps 2004 W. A. Kirk
Brailey Sims
+ Proximinal Retracts and Best Proximity Pair Theorems 2003 W. A. Kirk
Simeon Reich
P. Veeramani
+ Set-valued contractions and fixed points 2003 Rafael EspıĢnola
W. A. Kirk
+ Fixed points of asymptotic contractions 2003 W. A. Kirk
+ PDF Chat Transfinite methods in metric fixedā€point theory 2003 W. A. Kirk
+ PDF Chat FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES 2001 R. EspĆ­nola
W. A. Kirk
+ Banach Spaces: Introduction 2001 Mohamed A. Khamsi
W. A. Kirk
+ Banach Space Ultrapowers 2001 Mohamed A. Khamsi
W. A. Kirk
+ Pure and Applied Mathematics 2001 Mohamed A. Khamsi
W. A. Kirk
+ ā€œNormalā€ Structures in Metric Spaces 2001 Mohamed A. Khamsi
W. A. Kirk
+ Continuous Mappings in Banach Spaces 2001 Mohamed A. Khamsi
W. A. Kirk
+ An Introduction to Metric Spaces and Fixed Point Theory 2001 Mohamed A. Khamsi
W. A. Kirk
+ Bibliography 2001 Mohamed A. Khamsi
W. A. Kirk
+ Hyperconvex Spaces 2001 Mohamed A. Khamsi
W. A. Kirk
+ FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES 2001 Rafael EspıĢnola
W. A. Kirk
+ Classical Theory of Nonexpansive Mappings 2001 Kazimierz Goebel
W. A. Kirk
+ Handbook of Metric Fixed Point Theory 2001 W. A. Kirk
Brailey Sims
+ PDF Chat A note on Picard iterates of nonexpansive mappings 2001 Eun Suk Kim
W. A. Kirk
+ Contraction Mappings and Extensions 2001 W. A. Kirk
+ Uniform normal structure and related notions. 2001 W. A. Kirk
Brailey Sims
+ Nonexpansive Mappings: Boundary/Inwardness Conditions and Local Theory 2001 W. A. Kirk
Claudio H. Morales
+ Nonexpansive Retractions in Hyperconvex Spaces 2000 Rafael EspıĢnola
W. A. Kirk
Genaro LĆ³pez-Acedo
+ Fixed point and selection theorems in hyperconvex spaces 2000 Mohamed A. Khamsi
W. A. Kirk
Carlos Martinez YaƱez
+ Nonexpansive mappings and asymptotic regularity 2000 W. A. Kirk
+ The Knasterā€“Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications 2000 W. A. Kirk
Brailey Sims
George Xianzhi Yuan
+ Some results on existence and approximation in metric fixed point theory 2000 W. A. Kirk
Linda Marie Saliga
+ Asymptotic Properties of Nonexpansive Iterations in Reflexive Spaces 1999 Behzad Djafari Rouhani
W. A. Kirk
+ Convergence of Picard iterates of nonexpansive mappings 1999 W. A. Kirk
Brailey Sims
+ Asymptotically nonexpansive mappings 1998 W. A. Kirk
Carlos Martinez YaƱez
Sang Sik Shin
+ Hyperconvexity of ā„-trees 1998 W. A. Kirk
+ PDF Chat Hyperconvexity of ā„-trees 1998 W. A. Kirk
+ A FIXED POINT THEOREM REVISITED 1997 W. A. Kirk
Byung Gai Kang
+ Constructive aspects of fixed point theory for nonexpansive mappings 1996 TekamĆ¼l BĆ¼ber
W. A. Kirk
+ Nonlinear Isometries in Superreflexive Spaces 1996 W. A. Kirk
Brailey Sims
+ Fixed point theorems for Lipschitzian mappings in Banach spaces 1996 Tae Hwa Kim
W. A. Kirk
+ Continuous mappings in compact hyperconvex metric spaces 1996 W. A. Kirk
+ A CONSTRUCTIVE PROOF OF A FIXED POINT THEOREM OF SOARDI 1995 TekamĆ¼l BĆ¼ber
W. A. Kirk
+ PDF Chat Compactness and countable compactness in weak topologies 1995 W. A. Kirk
+ Antipodal points and fixed points 1995 Jan Jaworowski
W. A. Kirk
Sehie Park
+ NEAREST AND FARTHEST POINTS OF CLOSED SETS IN HYPERBOLIC SPACES 1991 W. A. Kirk
+ Topics in Metric Fixed Point Theory 1990 Kazimierz Goebel
W. A. Kirk
+ Sequential approximation techniques for nonexpansive mappings 1990 W. A. Kirk
+ The basic fixed point theorems for nonexpansive mappings 1990 W. A. Kirk
+ Banach's Contraction Principle 1990 W. A. Kirk
+ Properties of fixed point sets and minimal sets 1990 W. A. Kirk
+ Scaling the convexity of the unit ball 1990 W. A. Kirk
+ Special properties of Hilbert space 1990 W. A. Kirk
+ The theorems of Brouwer and Schauder 1990 W. A. Kirk
+ The modulus of convexity and normal structure 1990 W. A. Kirk
+ PDF Chat Approximate fixed points for nonexpansive mappings in uniformly convex spaces 1990 W. A. Kirk
Carlos Martinez-Yanez
+ AN ULTRANET TECHNIQUE IN METRIC FIXED POINT THEORY 1989 W. A. Kirk
Silvio Massa
+ PDF Chat An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces 1989 W. A. Kirk
+ Nonexpansive and locally nonexpansive mappings in product spaces 1988 W. A. Kirk
Carlos Martinez Yanez
+ Approximate Fixed Points for Mappings in Banach Spaces 1986 W. A. Kirk
+ Nonexpansive mappings in product spaces, set-valued mappings and š‘˜-uniform rotundity 1986 W. A. Kirk
+ Developments in Fixed Point Theory for Nonexpansive Mappings 1985 L. P. Belluce
W. A. Kirk
+ PDF Chat Local expansions and accretive mappings 1983 W. A. Kirk
+ PDF Chat Remarks on fixed points and boundaries 1983 W. A. Kirk
+ A coincidence theorem for mappings satisfying local conditions 1983 W. A. Kirk
Melissa S. Anderson
+ Iteration processes for nonexpansive mappings 1983 Kazimierz Goebel
W. A. Kirk
+ Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces 1982 Ronald E. Bruck
W. A. Kirk
Simeon Reich
+ Krasnoselskii's iteration process in hyperbolic space 1982 W. A. Kirk
+ Nonexpansive mappings in metric and Banach spaces 1981 W. A. Kirk
+ PDF Chat On the Approximation of Fixed Points of Locally Nonexpansive Mappings 1981 W. A. Kirk
Claudio H. Morales
+ PDF Chat An abstract fixed point theorem for nonexpansive mappings 1981 W. A. Kirk
+ PDF Chat On local isometries and isometries in metric spaces 1981 Thakyin Hu
W. A. Kirk
+ Zeros ofm-accretive operators in Banach spaces 1980 W. A. Kirk
Rainald Schƶneberg
+ Fixed point theorems for local strong pseudo-contractions 1980 W. A. Kirk
Claudio H. Morales
+ Mapping theorems for local expansions in metric and Banach spaces 1979 W. A. Kirk
Rainald Schƶneberg
+ A fixed point theorem for local pseudo-contractions in uniformly convex spaces 1979 W. A. Kirk
+ Asymptotically nonexpansive semigroups in Banach spaces 1979 W. A. Kirk
Ricardo TorrejĆ³n
+ PDF Chat Fixed-point theorems for mapping defined on unbounded sets in Banach spaces 1979 W. A. Kirk
W. D. Ray
+ PDF Chat Local contractions in metric spaces 1978 Thakyin Hu
W. A. Kirk
+ PDF Chat A Note on Lipschitzian Mappings in Convex Metric Spaces 1977 W. A. Kirk
William O. Ray
+ PDF Chat Some results on pseudo-contractive mappings 1977 W. A. Kirk
Rainald Schƶneberg
+ PDF Chat A generalization of Caristiā€™s theorem with applications to nonlinear mapping theory 1977 David J. Downing
W. A. Kirk
+ PDF Chat A remark on directional contractions 1977 W. A. Kirk
William O. Ray
+ PDF Chat Caristi's fixed point theorem and metric convexity 1976 W. A. Kirk
+ A remark on condensing mappings 1975 W. A. Kirk
+ PDF Chat Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions 1975 W. A. Kirk
+ Geometric fixed point theory and inwardness conditions 1975 James Caristi
W. A. Kirk
+ PDF Chat Uniformly Lipschitzian Families of Transformations in Banach Spaces 1974 K. Goebel
W. A. Kirk
R. L. Thele
+ PDF Chat A fixed point theorem for<i>k</i>-set-contractions defined in a cone 1974 Juan A. Gatica
W. A. Kirk
+ PDF Chat Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings 1974 Juan A. Gatica
W. A. Kirk
+ Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type 1974 W. A. Kirk
+ PDF Chat A fixed point theorem for transformations whose iterates have uniform Lipschitz constant 1973 K. Goebel
W. A. Kirk
+ PDF Chat Fixed point theorems for set-valued mappings of contractive type 1972 Nadim A. Assad
W. A. Kirk
+ PDF Chat A fixed point theorem for asymptotically nonexpansive mappings 1972 K. Goebel
W. A. Kirk
+ PDF Chat Fixed point theorems for Lipschitzian pseudo-contractive mappings 1972 Juan A. Gatica
W. A. Kirk
+ PDF Chat Fixed-point theorems for certain nonlinear nonexpansive mappings 1971 W. A. Kirk
W. D. Royalty
+ PDF Chat Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings 1971 W. A. Kirk
+ PDF Chat On successive approximations for nonexpansive mappings in Banach spaces 1971 W. A. Kirk
+ PDF Chat On conditions under which local isometries are motions 1971 W. A. Kirk
+ PDF Chat A fixed point theorem for mappings with a nonexpansive iterate 1971 W. A. Kirk
+ Mappings of generalized contractive type 1970 W. A. Kirk
+ PDF Chat Remarks on pseudo-contractive mappings 1970 W. A. Kirk
+ Fixed point theorems for nonexpansive mappings 1970 W. A. Kirk
+ Nonexpansive mappings and the weak closure of sequences of iterates 1969 W. A. Kirk
+ On nonlinear mappings of strongly semicontractive type 1969 W. A. Kirk
+ PDF Chat Some Fixed Point Theorems in Metric and Banach Spaces 1969 L. P. Belluce
W. A. Kirk
+ On Mappings with Diminishing Orbital Diameters 1969 W. A. Kirk
+ PDF Chat Fixed-point theorems for certain classes of nonexpansive mappings 1969 L. P. Belluce
W. A. Kirk
+ PDF Chat Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings 1969 L. P. Belluce
W. A. Kirk
+ PDF Chat Normal structure in Banach spaces 1968 L. P. Belluce
W. A. Kirk
E. F. Steiner
+ PDF Chat Nonexpansive mappings and fixed-points in Banach spaces 1967 L. P. Belluce
W. A. Kirk
+ A Note on Equilateral Metric Triples 1967 B. W. Huff
W. A. Kirk
+ PDF Chat Fixed-point theorems for families of contraction mappings 1966 L. P. Belluce
W. A. Kirk
+ PDF Chat A theorem on local isometries 1966 W. A. Kirk
+ A Fixed Point Theorem for Mappings which do not Increase Distances 1965 W. A. Kirk
+ Another Characterization of Inner Product Spaces 1964 W. A. Kirk
M. F. Smiley
+ Mathematical Notes 1964 H. Burkill
T. S. Wu
W. A. Kirk
M. F. Smiley
Zbigniew Semadeni
E. M. Horadam
G. S. Young
Brother U. Alfred
J Arkin
L. Carlitz
+ On Locally Isometric Mappings of a G-Space on Itself 1964 W. A. Kirk
+ PDF Chat On curvature of a metric space at a point 1964 W. A. Kirk
+ PDF Chat On locally isometric mappings of a šŗ-space on itself 1964 W. A. Kirk
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A Fixed Point Theorem for Mappings which do not Increase Distances 1965 W. A. Kirk
36
+ PDF Chat Semicontractive and semiaccretive nonlinear mappings in Banach spaces 1968 Felix E. Browder
25
+ Topics in Metric Fixed Point Theory 1990 Kazimierz Goebel
W. A. Kirk
24
+ PDF Chat NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE 1965 Felix E. Browder
24
+ Metric Spaces of Non-Positive Curvature 1999 Martin R. Bridson
AndrƩ Haefliger
22
+ PDF Chat Extension of uniformly continuous transformations and hyperconvex metric spaces 1956 N. Aronszajn
Prom Panitchpakdi
17
+ PDF Chat Fixed point theorems for mappings satisfying inwardness conditions 1976 James Caristi
16
+ PDF Chat Fixed points and iteration of a nonexpansive mapping in a Banach space 1976 Shiro Ishikawa
16
+ PDF Chat A common fixed point theorem for a commuting family of nonexpansive mappings 1974 Ronald E. Bruck
15
+ PDF Chat Common fixed points for commuting contraction mappings 1963 Ralph DeMarr
13
+ A Course in Metric Geometry 2001 Dmitri Burago
Yuri Burago
S. V. Ivanov
12
+ PDF Chat Existence of fixed points of nonexpansive mappings in certain Banach lattices 1979 Paolo M. Soardi
12
+ PDF Chat Properties of fixed-point sets of nonexpansive mappings in Banach spaces 1973 Ronald E. Bruck
11
+ PDF Chat Fixed-point theorems for families of contraction mappings 1966 L. P. Belluce
W. A. Kirk
11
+ PDF Chat Fixed-point theorems for certain classes of nonexpansive mappings 1969 L. P. Belluce
W. A. Kirk
10
+ Nonexpansive iterations in hyperbolic spaces 1990 Simeon Reich
Itai Shafrir
10
+ Handbook of Metric Fixed Point Theory 2001 W. A. Kirk
Brailey Sims
10
+ Introduction to Hyperconvex Spaces 2001 Rafael EspıĢnola
Mohamed A. Khamsi
10
+ PDF Chat Nonlinear semigroups and evolution equations 1967 Tosio Kato
10
+ Hyperconvexity and approximate fixed points 1989 Robert Sine
9
+ The Isometric Theory of Classical Banach Spaces 1974 H. Elton Lacey
9
+ Metric Spaces, Convexity and Nonpositive Curvature 2014 Athanase Papadopoulos
9
+ PDF Chat Nonlinear Operators and Nonlinear Equations of Evolution 1976 Felix E. Browder
9
+ Nonstandard Methods in Fixed Point Theory 1990 Asuman GĆ¼ven Aksoy
Mohamed A. Khamsi
9
+ FIXED POINT THEOREMS IN CAT(0) SPACES AND R-TREES 2009 W. A. Kirk
9
+ Zeros of accretive operators 1974 Klaus Deimling
8
+ On nonlinear contraction semigroups in sup norm spaces 1979 Robert Sine
8
+ PDF Chat Multi-valued contraction mappings 1969 Sam B. Nadler
8
+ PDF Chat On metric spaces with uniform normal structure 1989 Mohamed A. Khamsi
8
+ Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings 1984 Kazimierz Goebel
Simeon Reich
8
+ PDF Chat Uniformly Lipschitzian Families of Transformations in Banach Spaces 1974 K. Goebel
W. A. Kirk
R. L. Thele
8
+ PDF Chat A fixed point theorem for transformations whose iterates have uniform Lipschitz constant 1973 K. Goebel
W. A. Kirk
8
+ Structure of the fixed points sets of k-set-contractions 1971 W. V. Petryshyn
8
+ PDF Chat Nonlinear mappings of nonexpansive and accretive type in Banach spaces 1967 Felix E. Browder
8
+ Six theorems about injective metric spaces 1964 John Isbell
8
+ Metric Spaces, Convexity and Nonpositive Curvature 2004 Athanase Papadopoulos
8
+ PDF Chat Normal structure in Banach spaces 1968 L. P. Belluce
W. A. Kirk
E. F. Steiner
7
+ A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces 1979 Ronald E. Bruck
7
+ Nonlinear operators and nonlinear equations of evolution in Banach spaces 1976 Felix E. Browder
7
+ Hyperconvexity of ā„-trees 1998 W. A. Kirk
7
+ Convexity of balls and fixed-point theorems for mappings with nonexpansive square 1970 K. Goebel
7
+ PDF Chat The fixed point index for local condensing maps 1971 Roger D. Nussbaum
7
+ KKM and Ky Fan Theorems in Hyperconvex Metric Spaces 1996 Mohamed A. Khamsi
7
+ Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations 1978 Michael Edelstein
Richard Oā€™Brien
7
+ Krasnoselskii's iteration process in hyperbolic space 1982 W. A. Kirk
7
+ Nonexpansive mapping and hyperconvex spaces 1988 Jean-Bernard Baillon
7
+ PDF Chat A fixed point theorem for asymptotically nonexpansive mappings 1972 K. Goebel
W. A. Kirk
7
+ A general principle on ordered sets in nonlinear functional analysis 1976 HaıĢˆm Brezis
Felix E. Browder
7
+ PDF Chat On weak compactness and countable weak compactness in fixed point theory 1996 John Kulesza
Teck-Cheong Lim
7
+ PDF Chat The fixed point property and unbounded sets in Hilbert space 1980 William O. Ray
7