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Titlebook: Ulam Type Stability; Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias Book 2019 Springer Nature Switzerland AG 2019 Ulam’s type stability

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发表于 2025-3-21 17:09:53 | 显示全部楼层 |阅读模式
书目名称Ulam Type Stability
编辑Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias
视频video
概述Presents up-to-date research and information on Ulam’s stability of linear and nonlinear operators.Includes a number of open problems.Features a variety of approaches for problems that lack stability
图书封面Titlebook: Ulam Type Stability;  Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias Book 2019 Springer Nature Switzerland AG 2019 Ulam’s type stability
描述.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
出版日期Book 2019
关键词Ulam’s type stability; Functional Equations; polynomial functional equations; differential operators; op
版次1
doihttps://doi.org/10.1007/978-3-030-28972-0
isbn_softcover978-3-030-28974-4
isbn_ebook978-3-030-28972-0
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-21 21:19:06 | 显示全部楼层
Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators,rt spaces. We also present some new results, along with the corresponding proofs, that have not been published before. In the last section we suggest some future directions for research, in particular connected to the notion of Ulam stability.
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发表于 2025-3-22 06:28:33 | 显示全部楼层
Ulam-Hyers Stability of Functional Equations in Quasi-,-Banach Spaces,In this chapter, we give a survey on Ulam-Hyers stability of functional equations in quasi-.-Banach spaces, in particular in .-Banach spaces, quasi-Banach spaces and (., .)-Banach spaces.
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,Bi-additive ,-Functional Inequalities and Quasi-∗-Multipliers on Banach ∗-Algebras,Park introduced and investigated the following bi-additive .-functional inequalities . where . is a fixed nonzero complex number with |.| < 1. Using the direct method, we prove the Hyers-Ulam stability of quasi-∗-multipliers on Banach ∗-algebras and unital ..-algebras, associated to the bi-additive .-functional inequalities (10.1) and (10.2).
发表于 2025-3-23 09:22:57 | 显示全部楼层
,On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted Domain,In this paper we prove the Ulam type stability of a generalization of the Fréchet functional equation on a restricted domain. In the proofs the main tool is a fixed point theorem for some function spaces.
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