SU\G(𝔾)/K·U
Mathematics â€ș Applied Mathematics

Functional Equations Stability Results

Works Count: 21546

Description

This cluster of papers focuses on the stability of functional equations, particularly in the context of mathematical analysis. It explores topics such as Hyers-Ulam stability, functional equations in Banach spaces, stability of linear differential equations, quadratic equations, fixed point approaches, approximate homomorphisms, fuzzy stability, non-Archimedean spaces, and the Pexider equation.

Keywords

Hyers-Ulam Stability; Functional Equations; Banach Spaces; Linear Differential Equations; Quadratic Equation; Fixed Point Approach; Approximate Homomorphisms; Fuzzy Stability; Non-Archimedean Spaces; Pexider Equation

Most Cited Works

Action Title Date Authors
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Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales 1922-01-01 Stefan Banach
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An Introduction to the Theory of Functional Equations and Inequalities 2009-01-01 Marek Kuczma
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Differential inclusions set-valued maps and viability theory 1986-06-01 Jean Aubin A. Cellina
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Functional equations in several variables: with applications to mathematics, information theory, and to the natural and social sciences 1989-11-01 J. Aczél Jean Dhombres
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Stability of Functional Equations in Several Variables 1998-01-01 D. H. Hyers G. Isac Themistocles M. Rassias
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Functional Analysis, Sobolev Spaces and Partial Differential Equations 2010-11-02 Haïm Brézis
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Function theory in polydiscs 1996-10-01 Walter Rudin
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Volume and bounded cohomology 1982-01-01 Michael Gromov
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Transcendental Logarithmic Utility Functions 1975-01-01 Dale W. Jorgenson Laurits R. Christensen Lawrence J. Lau
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Fuzzy differential equations 1987-12-01 Osmo Kaleva
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Fuzzy random variables 1986-03-01 Madan L. Puri Dan A. Ralescu
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Inequalities Involving Functions and Their Integrals and Derivatives 1991-01-01 D. S. Mitrinović ‎Josip Pečarić A. M. Fink
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Vector-valued laplace transforms and cauchy problems 1987-10-01 Wolfgang Arendt
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On the stability of the linear mapping in Banach spaces 1978-11-01 Themistocles M. Rassias
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Harmonic univalent functions 1984-01-01 J. Clunie T. Sheil-Small
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The Class of Additively Decomposable Inequality Measures 1980-04-01 Anthony Shorrocks
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Metric spaces and positive definite functions 1938-01-01 I. J. Schoenberg
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On the Stability of the Linear Functional Equation 1941-04-15 D. H. Hyers
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Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities 2012-01-06 Mehmet Zeki Sarıkaya Erhan Set Hatice Yaldız Nagihan BaƟak
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On the Stability of the linear Transformation in Banach Spaces. 1950-09-01 Tosio Aoki
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New criteria for univalent functions 1975-05-01 Stephan Ruscheweyh
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Integral representation without additivity 1986-01-01 David Schmeidler
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Integrals of set-valued functions 1965-08-01 Robert J. Aumann
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The Ɓojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems 2007-01-01 JérÎme Bolte Aris Daniilidis Adrian S. Lewis
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On the fuzzy initial value problem 1987-12-01 Seppo Seikkala
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A Course in Functional Analysis. 1986-11-01 T. W. Gamelin John B. Conway
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A generalization of Tychonoff's fixed point theorem 1961-06-01 Ky Fan
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On the existence of certain singular integrals 1952-01-01 A. P. CalderĂłn A. Zygmund
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A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings 1994-06-01 P. Găvruƣa
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On stability of additive mappings 1991-01-01 Zbigniew Gajda
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Sur les fonctions convexes et les inégalités entre les valeurs moyennes 1906-01-01 J. L. W. V. Jensen
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Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula 1998-09-01 Sever S Dragomir Ravi P. Agarwal
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Optimal Rates of Convergence for Nonparametric Estimators 1980-11-01 Charles J. Stone
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The Equivalence of Two Extremum Problems 1960-01-01 J. Kiefer J. Wolfowitz
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Mean value methods in iteration 1953-06-01 W. Robert Mann
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Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations 2004-09-14 BarnabĂĄs Bede Sorin G. Gal
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The Existence of Probability Measures with Given Marginals 1965-04-01 Volker Strassen
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Semianalytic and subanalytic sets 1988-01-01 Edward Bierstone Pierre D. Milman
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On the solutions of quasi-linear elliptic partial differential equations 1938-01-01 Charles B. Morrey
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An extension of Tietze’s theorem 1951-09-01 J. Dugundji
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Integrals, conditional expectations, and martingales of multivalued functions 1977-03-01 Fumio Hiai Hisaharu Umegaki
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AUGMENTING HUMAN INTELLECT: A CONCEPTUAL FRAMEWORK 1962-10-01 Douglas C. Engelbart
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Sur quelques points d'algĂšbre homologique, I 1957-01-01 Alexander Grothendieck
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XI.—On <i>q</i>-Functions and a certain Difference Operator 1909-01-01 F. H. Jackson
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The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals 1947-04-01 R. H. Cameron W. T. Martin
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One-parameter semigroups 2007-04-26 E. B. Davies
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Convex Functions and Their Applications 2018-01-01 Constantin P. Niculescu Lars‐Erik Persson
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Lectures on Functional Equations and their Applications. 1968-03-01 F. Hahn J. Aczél Hansjörg Oser
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The Interpretation of Dummy Variables in Semilogarithmic Equations 1980-01-01 Robert Halvorsen Raymond B. Palmquist
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Diffusions hypercontractives 1985-01-01 Dominique Bakry Michel Émery

Most Recent Works

Action Title Date Authors
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The Study of Fractional Quadratic Integral Equations Involves General Fractional Integrals 2025-04-15 Mi Zhou Hengtai Wang Zhenghua Xu Lu Zhang
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A Refined form of the generalized Jensen inequality through an arbitrary function 2025-04-15 Sahar Saoud M. A. KHAN Shahbaz Khan Sami H. Altoum Emmanuel Nwaeze
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Inequalities characterizing differential operators 2025-04-16 Gerd Herzog Peer Christian Kunstmann
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A study on Davison’s functional equation for set-valued functions 2025-04-16 Elham Mohammadi Abbas Najati Iz-iddine EL-Fassi
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On the solution of functional equations of Wilson's type on monoids 2025-04-16 Iz‐iddine EL‐Fassi Abdellatif Chahbi Samir Kabbaj
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Jensen–Jessen Inequality for Convex Maps 2025-04-16 ZdzisƂaw Otachel
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Fixed point indices of iterates of orientation-reversing homeomorphisms 2025-04-18 Grzegorz Graff Patryk TopĂłr
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Weighted inequalities for sub-monotone functionals 2025-04-19 ĐĐŒĐžŃ€Đ°Đœ Đ“ĐŸĐłĐ°Ń‚ĐžŃˆĐČОлО LuboĆĄ Pick
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Common fixed points in Chebyshev center for a semigroup of isometry mappings 2025-04-18 Sharma Abhishek Sankara Narayanan Rajesh
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The Solvability and Ulam–Hyers Stability of Fractional Non-autonomous Differential Equations Governed by Mixed Brownian Motion 2025-04-23 Surendra Kumar Anjali Upadhyay
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Linear independence of certain infinite series with monomial orders 2025-04-18 Shintaro Murakami Yohei Tachiya
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The Raychaudhuri equation 2025-04-24
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Carathéodory number and exchange number in Ύ-convexity 2025-04-23 Bijo S. Anand Arun Anil Manoj Changat Prasanth G. Narasimha-Shenoi Sabeer S. Ramla
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Functional inequalities for the numerical radius 2025-04-23 Hamid Reza Moradi Mohammad Sababheh
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On the roots of maximal matching polynomials 2025-04-24 Matt Burnham Aysel Erey
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Generalizations of Van Vleck’s functional equation on semigroups 2025-04-24 Youssef Aserrar Elhoucien Elqorachi
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An analogue of Koebe’s theorem and the openness of a limit map in one class 2025-04-24 Evgeny Sevost’yanov Valery Targonskii
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Almost symmetric Arf C-semigroups and partitions 2025-04-24 Nihal GĂŒmĂŒĆŸbaƟ Nesrin TutaƟ Hali̇l Ä°brahi̇m KarakaƟ
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>h</mml:mi></mml:math>-vector inequalities under weak maps 2025-04-24 Gaku Liu A. W. Mason
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Generalization of Some Integral Inequalities in Multiplicative Calculus with Their Computational Analysis 2025-04-24 Abdul Mateen Zhiyue Zhang Muhammad Aamir Ali Mičhal Fĕckan
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Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions 2025-04-28 Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
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Hyers–Ulam Stability Results of Solutions for a Multi-Point φ-Riemann-Liouville Fractional Boundary Value Problem 2025-04-28 Hicham Ait Mohammed Safa M. Mirgani Brahim Tellab Abdelkader Amara Mohammed El-Hadi Mezabia Khaled Zennir Keltoum Bouhali
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Existence and Ulam-Type Stability for Fractional Multi-Delay Differential Systems 2025-04-28 Xing Zhang Mengmeng Li
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A note on a result of Makowski 2025-04-30 Luis H. Gallardo Joshua Zelinsky
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On integral inequalities with applications to the logarithmic mean 2025-04-30 Bikash Chakraborty Lazhar Bougoffa
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On Multivalued Contractions via Ξ-hyperbolic Sine Distance Functions 2025-05-01 Hassen Aydi Abdelbasset Felhi Irshad Ayoob Nabil Mlaiki
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Common Fixed Points of Asymptotically Regular Mappings in Convex Metric Spaces with Application 2025-05-01 Abdul Rahim Khan Godwin Chidi Ugwunnadi Maggie Aphane Faizan Yousaf Amir Abbas
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Investigation of Existence and Ulam's type Stability for Coupled Fractal Fractional Differential Equations 2025-05-01 Amjad Ali Farha Bibi Zeeshan Ali Kamal Shah Bahaaeldin Abdalla Thabet Abdeljawad
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On Filters of Implicative Negatively Partially Ordered Ternary Semigroups 2025-05-01 Kansada Nakwan Panuwat Luangchaisri Thawhat Changphas
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On approximately skew derivations 2025-05-01 H. Khodaei Mehdi Rostami Ahmad Alinejad
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Trapezoid Orthogonality in Complex Normed Linear Spaces 2025-04-30 Zheng Li Tie Zhang Changjun Li
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In-betweenness and Heinz mean inequalities 2025-05-02 ‎Raluca Dumitru JosĂ© A. Franco Sejong Kim
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Interpolating the Heinz and PĂłlya inequality and its operator version 2025-04-30 H. Samea Ghodratollah Shafiei
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CHAPTER 12 Local systems with non-monomial coefficients 2025-05-04
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Marcinkiewicz integral and superdensity 2025-05-05 Silvano Delladio
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A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory 2025-05-06 Srinivasan Arunachalam Arkopal Dutt Francisco Escudero Carlos Palazuelos
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Ulam–Hyers–Rassias Stability of ψ-Hilfer Volterra Integro-Differential Equations of Fractional Order Containing Multiple Variable Delays 2025-05-06 John R. Graef Osman Tunç Cemil Tunç
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The value semigroup of a plane curve singularity with several branches 2025-05-06 Marco D’Anna F. Delgado Lorenzo Guerrieri Nicola Maugeri Vincenzo Micale
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Integration by parts and Bismut-Elworthy-Li-type formula on the Heisenberg Lie group using the hypoelliptic measure 2025-05-07 Rui Albuquerque A. M. S. MacĂȘdo Raydonal Ospina
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K-stability via Valuations 2025-04-24
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K-stability via Filtrations 2025-04-24
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On Jensen-like form of MikusiƄski's functional equation 2025-05-07 E. Imani Abbas Najati Mohammad Amin Tareeghee
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Asymptotic formulae for bivariate functions periodic with respect to the one variable 2025-05-07 Dumitru Popa
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Some applications of microlocalization for local complete intersection subvarieties 2025-05-08 Bradley Dirks
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On the index of power compositional polynomials 2025-05-08 Sumandeep Kaur Surender Kumar LĂĄszlĂł Remete
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Exploration of Some Novel Integral Inequalities Pertaining to the New Class of (&lt;i&gt;k, ρ&lt;/i&gt;)-Conformable Fractional Integrals 2025-05-09 Warda Gauhar Rahman Muhammad Samraiz Salma Haque Nabil Mlaiki
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Effective Bertini theorem 2025-05-01 Katarzyna Kielanowicz Beata OsiƄska-Ulrych Tomasz Rodak Adam RĂłĆŒycki StanisƂaw Spodzieja
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Hybrid Integral Inequalities on Fractal Set 2025-05-09 Badreddine Meftah Wedad Saleh Muhammad Uzair Awan Loredana Ciurdariu Abdelghani Lakhdari
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Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications 2025-05-09 LĂĄszlĂł HorvĂĄth
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Fractional Version of Bullen type Inequalities via Multiplicative Calculus with Applications 2025-05-09 Saad Ihsan Butt Muhammad Umar Dawood Khan Youngsoo Seol