On an extension of contractivity conditions via auxiliary functions

Ravi P. Agarwal, Erdal Karapınar, Antonio Francisco Roldán López de Hierro

Type: Article

Publication Date: 2015-07-01

Citations: 1

DOI: https://doi.org/10.1186/s13663-015-0354-x

Abstract

Abstract In this manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.

Locations

Fixed Point Theory and Applications - View - PDF

Similar Works

Action	Title	Year	Authors
+	On common fixed point theorems for three and four self mappings satisfying contractive conditions	2010	Hakima Bouhadjera
+	Common fixed point theorems for a class of new Φ-contractive type mappings	2009	Gu Feng
+	COMMON FIXED POINT THEOREM FOR NONCOMPATIBLE MAPPINGS	2010	Xinqi Hu
+	Common Fixed Point Theorem of Four Self-Mappings with A Class of New Contractive Condition	2011	Gu Feng
+ PDF Chat	Some common fixed point theorems for four self-mappings satisfying a general contractive condition	2020	Manoj Kumar R. Sharma Serkan Aracı
+ PDF Chat	Common fixed point results for three pairs of self-maps satisfying new contractive condition	2014	Zhong‐Zhi Yang
+	An extension of multi-valued contraction mappings and fixed points	1999	Chengkui Zhong Zhu Jiang Peihao Zhao
+ PDF Chat	Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (ψ,φ)-contractive condition	2018	Zead Mustafa Mohammed M. M. Jaradat Arslan Hojat Ansari Feng Gu Huihui Zheng Stojan Radenović M. S. Bataineh
+	New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces	2015	Yongjie Piao
+	Common Fixed Points of Generalized α-ψ-contractive Type Selfmappings and Multivalued Mappings	2016	Babak Mohammadi
+	The Common Fixed Point Theorems for a Class of New Φ-Contraction Mapping	2006	FU Qiu-ping
+	Unique Common Fixed Point for a Family of Mappings with a Nonlinear Quasi-Contractive Type Condition in Metrically Convex Spaces	2015	Yongjie Piao
+ PDF Chat	Common fixed-point theorems for non-linear non-self contractive mappings in convex metric spaces	2023	Santosh Kumar David Aron
+	The New Common Fixed Point Theorem for Four Self-mappings	2010	Gu Feng
+ PDF Chat	Common Fixed Points for (ψ,ℱ,α,β)-weakly Contractive Mappings in Generalized Metric Spaces via New Functions	2015	Hüseyin Işık Arslan Hojat Ansari Duran Türkoğlu Sumit Chandok
+	A new common fixed point theorem for two pairs of noncompatible mappings	2006	Gu Feng
+ PDF Chat	A new approach to "Equation missing"<!-- No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -->-contractive nonself multivalued mappings	2014	Muhammad Usman Ali Tayyab Kamran Erdal Karapınar
+	A contractive condition of mappings having an unique common fixed point on 2-metric spaces	2012	Cui Hai-lan
+	Common fixed points of (ψ −ϕ)-weak and generalized (ψ −ϕ)-weak contraction for two mappings	2014	H.M. Abu-Donia Mona S. Bakry
+ PDF Chat	Fixed point theorems for mappings with common limit range property satisfying generalized (ψ,φ)-weak contractive conditions	2013	Mohammad Imdad Sunny Chauhan Zoran Kadelburg

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Coupled soft fixed point theorems in soft metric and soft b-metric space	2017	Balaji Raghunath Wadkar Ramakant Bhardwaj Vishnu Narayan Mishra Bharat Singh

Works Cited by This (43)

Action	Title	Year	Authors
+ PDF Chat	Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales	1922	Stefan Banach
+	Fixed point theorems	1974	D. R. Smart
+	Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces	2013	Antonio Francisco Roldán López de Hierro Juan Martínez‐Moreno Concepción Roldán Y. J. Cho
+ PDF Chat	Discussion on Generalized-(<i>α</i><i>ψ</i>,<i>β</i><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>φ</mml:mi></mml:mrow></mml:math>)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems	2014	Maher Berzig Erdal Karapınar Antonio Francisco Roldán López de Hierro
+	On Fixed and Periodic Points for a Class of Mappings	1972	V. M. Sehgal
+	Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations	2005	Juan J. Nieto Rosana Rodrı́guez-López
+	Fixed point theorems for mixed monotone operators and applications to integral equations	2010	J. Harjani B. López Kishin Sadarangani
+	Some theorems on weakly contractive maps	2001	Β. E. Rhoades
+ PDF Chat	On nonlinear contractions	1969	David W. Boyd J. S. W. Wong
+ PDF Chat	Common fixed point theorem for four mappings satisfying generalized weak contractive condition	2010	Mujahid Abbas Dragan Djorić