Nonlinear Functional Analysis

By: Yuan, Rong

This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Fr chet differentiation, the implicit function theorem, bifurcation problems, Brouwer degree, Leray-Schauder degree, fixed point theorems, topological degree of cone mappings, the global bifurcation theorem, extremum principles, Ekeland's variational principle, the minimax principle, index, and category.It consists of three chapters: Nonlinear Operators on Banach Spaces, Topological Degree Theory, and Variational Methods. Some examples are given to explain the applications of these theories, and each chapter contains exercises.This is a textbook for graduate students and senior undergraduate students.

• Format: Hardcover
• Language: English
• ISBN: 9819825814
• ISBN13: 9789819825813
• Release Date: June 2026
• Publisher: World Scientific Publishing Company
• Length: 210 Pages