Chen, Y: Nonlinear Operator Theory in Abstract Space & Appli
Beschreibung:
This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.
Contents: Preface; Introduction and Preliminaries; KKM Principle and Fixed Point Theorems in Topological Vector Spaces; Accretive Operators in Locally Convex Spaces; Topological Degree Theory; Fixed Point Theory in Metric Spaces; Extreme Problems; Critical Point Theory; Index.
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