Functional Equations in Mathematical Analysis

Editors:

ISBN: 978-1-4614-0054-7 (Print) 978-1-4614-0055-4 (Online)

Table of contents (48 chapters)

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  1. Front Matter

    Pages i-xvii

  2. Stability in Mathematical Analysis

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-13

      Stability Properties of Some Functional Equations

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      Book Chapter

      Pages 15-17

      Note on Superstability of Mikusiński’s Functional Equation

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      Book Chapter

      Pages 19-32

      A General Fixed Point Method for the Stability of Cauchy Functional Equation

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      Book Chapter

      Pages 33-58

      Orthogonality Preserving Property and its Ulam Stability

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      Book Chapter

      Pages 59-78

      On the Hyers–Ulam Stability of Functional Equations with Respect to Bounded Distributions

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      Book Chapter

      Pages 79-86

      Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces

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      Book Chapter

      Pages 87-96

      On Stability of the Equation of Homogeneous Functions on Topological Spaces

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      Book Chapter

      Pages 97-105

      Hyers–Ulam Stability of the Quadratic Functional Equation

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      Book Chapter

      Pages 107-124

      Intuitionistic Fuzzy Approximately Additive Mappings

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      Book Chapter

      Pages 125-138

      Generalized Hyers–Ulam Stability for General Quadratic Functional Equation in Quasi-Banach Spaces

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      Book Chapter

      Pages 139-152

      Ulam Stability Problem for Frames

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      Book Chapter

      Pages 153-164

      Generalized Hyers–Ulam Stability of a Quadratic Functional Equation

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      Book Chapter

      Pages 165-175

      On the Hyers–Ulam–Rassias Stability of the Bi-Pexider Functional Equation

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      Book Chapter

      Pages 177-190

      Approximately Midconvex Functions

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      Book Chapter

      Pages 191-199

      The Hyers–Ulam and Ger Type Stabilities of the First Order Linear Differential Equations

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      Book Chapter

      Pages 201-206

      On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability

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      Book Chapter

      Pages 207-222

      A Note on the Stability of an Integral Equation

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      Book Chapter

      Pages 223-227

      On the Stability of Polynomial Equations

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      Book Chapter

      Pages 229-245

      Isomorphisms and Derivations in Proper JCQ*-Triples

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      Book Chapter

      Pages 247-260

      Fuzzy Stability of an Additive-Quartic Functional Equation: A Fixed Point Approach

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