عنوان

Stability of functional equations in random normed spaces /

(Number (ISBN

1461484774 (electronic bk.)

(Number (ISBN

9781461484776 (electronic bk.)

Erroneous ISBN

9781461484769

Number

dltt

Title Proper

Stability of functional equations in random normed spaces /

General Material Designation

[Book]

First Statement of Responsibility

Yeol Je Cho, Themistocles M. Rassias, Reza Saadati

Specific Material Designation and Extent of Item

1 online resource (xix, 246 pages)

Series Title

Springer optimization and its applications,

Volume Designation

volume 86

ISSN of Series

1931-6828 ;

Text of Note

Includes bibliographical references and index

Text of Note

1. Preliminaries -- 2. Generalized Spaces -- 3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms -- 4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms -- 5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method -- 6. Stability of Functional Equations in Non-Archimedean Random Spaces -- 7. Random Stability of Functional Equations Related to Inner Product Spaces -- 8. Random Banach Algebras and Stability Results

0

Text of Note

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research

Title

OhioLINK electronic book center (Online)

Title

SpringerLink

Functional analysis

Functional equations

Random operators

MAT-- 005000

MAT-- 034000

MAT037000

PBKF

Number

Edition

Class number

Class number

Cho, Yeol Je

Rassias, Themistocles M.,1951-

Saadati, Reza

Ohio Library and Information Network

Date of Transaction

20210107122222.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y