Functional equations in mathematical analysis

Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Stability Properties of Some Functional Equations....Pages 3-13
Note on Superstability of Mikusiński’s Functional Equation....Pages 15-17
A General Fixed Point Method for the Stability of Cauchy Functional Equation....Pages 19-32
Orthogonality Preserving Property and its Ulam Stability....Pages 33-58
On the Hyers–Ulam Stability of Functional Equations with Respect to Bounded Distributions....Pages 59-78
Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces....Pages 79-86
On Stability of the Equation of Homogeneous Functions on Topological Spaces....Pages 87-96
Hyers–Ulam Stability of the Quadratic Functional Equation....Pages 97-105
Intuitionistic Fuzzy Approximately Additive Mappings....Pages 107-124
Generalized Hyers–Ulam Stability for General Quadratic Functional Equation in Quasi-Banach Spaces....Pages 125-138
Ulam Stability Problem for Frames....Pages 139-152
Generalized Hyers–Ulam Stability of a Quadratic Functional Equation....Pages 153-164
On the Hyers–Ulam–Rassias Stability of the Bi-Pexider Functional Equation....Pages 165-175
Approximately Midconvex Functions....Pages 177-190
The Hyers–Ulam and Ger Type Stabilities of the First Order Linear Differential Equations....Pages 191-199
On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability....Pages 201-206
A Note on the Stability of an Integral Equation....Pages 207-222
On the Stability of Polynomial Equations....Pages 223-227
Isomorphisms and Derivations in Proper JCQ * -Triples....Pages 229-245
Fuzzy Stability of an Additive-Quartic Functional Equation: A Fixed Point Approach....Pages 247-260
Front Matter....Pages 1-1
Selections of Set-Valued Maps Satisfying Functional Inclusions on Square-Symmetric Grupoids....Pages 261-272
On Stability of Isometries in Banach Spaces....Pages 273-285
Ulam Stability of the Operatorial Equations....Pages 287-305
Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces....Pages 307-318
Stability of the Quadratic–Cubic Functional Equation in Quasi–Banach Spaces....Pages 319-336
μ-Trigonometric Functional Equations and Hyers–Ulam Stability Problem in Hypergroups....Pages 337-358
Front Matter....Pages 359-359
On Multivariate Ostrowski Type Inequalities....Pages 361-369
Ternary Semigroups and Ternary Algebras....Pages 371-416
Popoviciu Type Functional Equations on Groups....Pages 417-426
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces: A Survey of Recent Results....Pages 427-490
Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces....Pages 491-508
On Solutions of Some Generalizations of the Goła̧b–Schinzel Equation....Pages 509-521
One-parameter Groups of Formal Power Series of One Indeterminate....Pages 523-545
On Some Problems Concerning a Sum Type Operator....Pages 547-554
Priors on the Space of Unimodal Probability Measures....Pages 555-561
Generalized Weighted Arithmetic Means....Pages 563-582
On Means Which are Quasi-Arithmetic and of the Beckenbach–Gini Type....Pages 583-597
Scalar Riemann–Hilbert Problem for Multiply Connected Domains....Pages 599-632
Hodge Theory for Riemannian Solenoids....Pages 633-657
On Solutions of a Generalization of the Goła̧b–Schinzel Functional Equation....Pages 659-670
Front Matter....Pages 359-359
On a Functional Equation Containing an Indexed Family of Unknown Mappings....Pages 671-687
Two-Step Iterative Method for Nonconvex Bifunction Variational Inequalities....Pages 689-696
On a Sincov Type Functional Equation....Pages 697-708
Invariance in Some Families of Means....Pages 709-717
On a Hilbert-Type Integral Inequality....Pages 719-725
An Extension of Hardy–Hilbert’s Inequality....Pages 727-738
A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality....Pages 739-748
Erratum....Pages E1-E1