Ulam Type Stability. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Janusz Brzdęk, Dorian Popa, Themistocles M. Rassias

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Brzdęk, Janusz.
• Popa, Dorian.
• Rassias, Themistocles M.
• SpringerLink (Online service)

ISBN:

9783030289720 [3030289729]    

注記:

Survey on Cauchy functional equation in lattice environments -- A purely fixed point approach to the Ulam-Hyers stability and hyperstability of a general functional equation -- Birkhoff–James orthogonality reversing property and its stability -- Optimal forward contract design for inventory: a value-of-waiting analysis -- Ulam-Hyers stability of functional equations in quasi-b-Banach spaces -- On stability of the functional equation of p-Wright affine functions in 2-Banach spaces -- On solutions and stability of a functional equation arising from a queueing system -- Approximation by cubic mappings -- Solutions and stability of some functional equations on semigroups -- Bi-additive s-functional inequalities and quasi multipliers on Banach-algebras -- On Ulam stability of a generalization of the Fréchet functional equation on a restricted domain -- Miscellanea about the stability of functional equations -- Subdominant eigenvalue location and the robustness of Dividend Policy Irrelevance -- A fixed point theore
This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal m

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