Nonlinear functional analysis: Applications to mathematical physics Volume 4

✍ Scribed by Eberhard Zeidler

• Book ID: 127418886
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Year: 1986
• Tongue: English
• Weight: 7 MB
• Series: Zeidler, Eberhard//Nonlinear Functional Analysis and Its Applications
• Category: Library
• ISBN: 0387909141

✦ Synopsis

This is the first of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the nonspecialist. Among the topics of Volume I are the two basic fixed-point theorems of Banach and Schauder, calculus in Banach spaces, the implicit function theorem, Newton's method, analytic bifurcation theory, fixed-point theorems for multivalued mappings, nonexpansive and condensing operators, mapping degree and fixed-point index and their applications, analytic maps, and asymptotic fixed-point theorems. The book contains numerous applications to such areas as ordinary and partial differential equations, integral equations, and game theory. Many exercises and a comprehensive bibliography complement the text.

✦ Subjects

Функциональный анализ