Stability of functional equations in random normed spaces /
نام عام مواد
[Book]
نام نخستين پديدآور
Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xix, 246 pages)
فروست
عنوان فروست
Springer optimization and its applications,
مشخصه جلد
volume 86
شاپا ي ISSN فروست
1931-6828 ;
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index
یادداشتهای مربوط به مندرجات
متن يادداشت
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
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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
قطعه
عنوان
OhioLINK electronic book center (Online)
عنوان
SpringerLink
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Functional analysis
موضوع مستند نشده
Functional equations
موضوع مستند نشده
Random operators
مقوله موضوعی
موضوع مستند نشده
MAT-- 005000
موضوع مستند نشده
MAT-- 034000
موضوع مستند نشده
MAT037000
موضوع مستند نشده
PBKF
رده بندی ديویی
شماره
515/
.
75
ويراست
23
رده بندی کنگره
شماره رده
QA431
شماره رده
QA431
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )