Functional equations and Ulam’s problem Themistocles M. Rassias, editor

Format:

Book

Contributor:

Rassias, Themistocles M., 1951- editor.

Language:

English

Subjects (All):

Functional equations.

Stability--Mathematical models.

Banach spaces.

Physical Description:

1 online resource

Place of Publication:

Cham Switzerland Springer [2026]

Summary:

"The aim of this volume, Functional Equations and Ulam’s Problem, is to publish a well-balanced collection of works devoted to the domain of functional equations with emphasis on stability results associated with Ulam’s problem for approximate homomorphisms. This area has been a source of active and vibrant research for more than five decades. Efforts have been made for the book to constitute a valuable reference for graduate students and advanced research scientists who wish to be introduced to the state-of-the art knowledge on the problems treated, as well as to obtain an overview of important results on stability theory, from classical to the most recent.The contributions in this collection investigate the following topics: functional equations on a semigroup, generalized Euler-Lagrange cubic functional equations, Ulam stability results for the Davison functional equation, Hyers-Ulam stability of a pexiderized functional equation, Ulam-Hyers stability in normed spaces, Hyers-Ulam stabilities for weighted operators, stability conditions for linear functional-differential equations, semilinear functional differential equations, general bi-Jensen functional equation, norm inequalities for the Chebyshev functional in Hilbert spaces, orthogonality and generalized additive mappings in Banach modules, permuting triderivations and permuting trihomomorphisms in complex Banach algebras, bi-quadratic derivations and bi-quadratic homomorphisms in Banach algebras, novel representations of mappings, linear and affine sets and relations, and solvability relations in groupoids"-- Springer Nature Link

Contents:

A system of cosine–sine functional equations on a semigroup generated by its squares / Ajebbar Omar and Elqorachi Elhoucien

Orthogonality and generalized additive mappings in Banach modules / H. Azadi Kenary, N. Sahami and M. H. Eghtesadifard

General system of the generalized Euler–Lagrange cubic functional equations and stability results / Abasalt Bodaghi

Bi-hom-ders in Banach algebras / Mehdi Dehghanian, Choonkil Park and Yamin Sayyari

Several new inner product and norm inequalities for the Cebyšev functional in Hilbert spaces / Silvestru Sever Dragomir

Ulam stability results for the Davison functional equation in 2-Banach spaces / El-Sayed El-hady

Stability conditions for linear functional–differential equations in a Banach space: a brief survey / Michael Gil’

Delay-dependent stability conditions for semilinear functional differential equations in a Banach space / Michael Gil’

General bi-Jensen equation and (C\*-ternary bi)hom-derivations on C\*-ternary Banach algebras / Zohreh Heydarpour and Javad Izadi

Hyers–Ulam stability of a Pexiderized functional equation / Soon-Mo Jung

Impact of fixed point theory on Ulam–Hyers stability in normed spaces / Erdal Karapınar, Marija Cvetković and Seher Sultan Yeşilkaya

The boundedness and HU-stabilities for some weighted operators / Vahid Keshavarz, Zohreh Kefayati and Thabet Abdeljawad

Permuting triderivations and permuting trihomomorphisms in complex Banach algebras / Jung Rye Lee, Choonkil Park and Michael Th. Rassias

C\*-bi-ternary derivations in C\*-algebra–ternary algebras / Jung Rye Lee, Choonkil Park and Michael Th. Rassias

Lie bracket derivation–derivations in Banach algebras / Jung Rye Lee, Choonkil Park and Michael Th. Rassias

Bi-quadratic derivations and bi-quadratic homomorphisms in Banach algebras / Jung Rye Lee, Choonkil Park and Michael Th. Rassias

Representation of mapping as a sum of mappings with familiar properties / Yang-Hi Lee and Michael Th. Rassias

On Ulam stability and hyperstability of functional equations in Banach spaces and 2-Banach spaces / Abbas Najati and Themistocles M. Rassias

Linear and affine sets and relations / Themistocles M. Rassias and Árpád Száz

Solvability relations in groupoids / Árpád Száz

Notes:

Includes bibliographical references

Online resource; title from PDF title page (Springer Nature Link, viewed March 6, 2026)

Other Format:

Print version Functional equations and Ulam’s problem

ISBN:

9783032089496

3032089492

OCLC:

1576132846

Access Restriction:

Restricted for use by site license