Nonlinear Operator Theory in Probabilistic Metric Spaces

by Shih-Sen Chang, Yeol Je Cho, Shin Min Kang

The purpose of this book is to give a comprehensive introduction to the study of nonlinear operator theory in probabilistic metric spaces. This book is introduced as a survey of the latest and new results on the following 1. Basic theory of probabilistic metric spaces,
2. Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces,
3. Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces,
4. Coincidence point theorems, minimization and fixed degree theorems in probabilistic metric spaces,
5. Probabilistic contractors, accretive mappings and topological degree in probabilistic normed spaces,
6. Nonlinear semigroups and differential equations in probabilistic metric spaces,
7. KKM theorems, minimax theorems and variational inequalities.

338 pages, Hardcover

First published May 1, 2001