By Yeol Je Cho, Themistocles M. Rassias, Reza Saadati
This ebook discusses the quickly constructing topic of mathematical research that bargains essentially with balance of useful equations in generalized areas. the elemental challenge during this topic used to be proposed through Stan M. Ulam in 1940 for approximate homomorphisms. The seminal paintings of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have supplied loads of thought and advice for mathematicians all over the world to enquire this large area of research.
The booklet offers a self-contained survey of modern and new effects on themes together with simple idea of random normed areas and comparable areas; balance thought for brand new functionality equations in random normed areas through fastened element procedure, below either distinct and arbitrary t-norms; balance idea of famous new useful equations in non-Archimedean random normed areas; and purposes within the category of fuzzy normed areas. It includes important effects on balance in random normed areas, and is aimed at either graduate scholars and learn mathematicians and engineers in a large sector of interdisciplinary research.