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Nonlinear Functional Analysis and its Applications: Part 1: Fixed-Point Theorems (Zeidler, Eberhard//Nonlinear Functional Analysis and Its Applications) (Pt. 1)
by Eberhard Zeidler
Binding: Hardcover, 909 pages
Publisher: Springer
Weight: 3.2 pound
Dimension: H: 1.8 x L: 9.3 x W: 6.1 inches
ISBN 10: 0387909141
ISBN 13: 9780387909141
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Book Description:
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.

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