Stability of Functional Equations in Random Normed Spaces

Yeol Je Cho (u. a.)

ISBN 10: 1493901109 / ISBN 13: 9781493901104

Published by Springer, 2015

About this Item

Stability of Functional Equations in Random Normed Spaces | Yeol Je Cho (u. a.) | Taschenbuch | Springer Optimization and Its Applications | xix | Englisch | 2015 | Springer | EAN 9781493901104 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 109237613

Bibliographic Details

• Title: Stability of Functional Equations in Random Normed Spaces
• Publisher: Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 1493901109
• ISBN 13: 9781493901104
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 15D millimeters 235 millimeters width by 155 millimeters height by 15 millimeters depth
• Weight: 411 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.