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Ulam Type Stability

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Ulam Type Stability / edited by Janusz Brzdęk, Dorian Popa, Themistocles M. Rassias.
其他作者:	Brzdęk, Janusz.
面頁冊數:	X, 514 p. 12 illus., 8 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-28972-0
ISBN:	9783030289720

Ulam Type Stability
Ulam Type Stability [electronic resource] /edited by Janusz Brzdęk, Dorian Popa, Themistocles M. Rassias. - 1st ed. 2019. - X, 514 p. 12 illus., 8 illus. in color.online resource.

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 theorem in uniformizable spaces -- Symmetry of Birkhoff-James orthogonality of bounded linear operators -- Ulam stability of zero point equations -- Cauchy difference operator in some Orlicz spaces -- Semi-inner products and parapreseminorms on groups and a generalization of a theorem of Maksa and Volkmann on additive functions -- Invariant means in stability theory -- On geometry of Banach function modules - selected topics -- On exact and approximate orthogonalities based on norm derivatives.

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 matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.

ISBN: 9783030289720

Standard No.: 10.1007/978-3-030-28972-0doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Ulam Type Stability
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505 0 $a 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 theorem in uniformizable spaces -- Symmetry of Birkhoff-James orthogonality of bounded linear operators -- Ulam stability of zero point equations -- Cauchy difference operator in some Orlicz spaces -- Semi-inner products and parapreseminorms on groups and a generalization of a theorem of Maksa and Volkmann on additive functions -- Invariant means in stability theory -- On geometry of Banach function modules - selected topics -- On exact and approximate orthogonalities based on norm derivatives.
520 $a 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 matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.
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