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.
