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Topological Fixed Point Theory of Multivalued Mappings / Edition 2

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History of the punjab v1: and of the rise, progress, and present condition of the sect and nation of the sikhs download epub. Free electronic library with classical and modern books, including History of the punjab v1: and of the rise, progress, and present condition of the sect and nation of the sikhs book. Posted: , The authors then proceed with an examination of Sadovskii, Furi—Pera, and Krasnoselskii fixed point theorems and nonlinear Leray—Schauder alternatives in the framework of weak topologies and involving multivalued mappings with weakly sequentially closed graph.

13 Fixed Point Theorem

These results are formulated in terms of axiomatic measures of weak noncompactness. The authors continue to present some fixed point theorems in a nonempty closed convex of any Banach algebras or Banach algebras satisfying a sequential condition P for the sum and the product of nonlinear weakly sequentially continuous operators, and illustrate the theory by considering functional integral and partial differential equations.

The existence of fixed points, nonlinear Leray—Schauder alternatives for different classes of nonlinear ws -compact operators weakly condensing, 1-set weakly contractive, strictly quasi-bounded defined on an unbounded closed convex subset of a Banach space are also discussed.

Download Topological Fixed Point Theory Of Multivalued Mappings 2007

The authors also examine the existence of nonlinear eigenvalues and eigenvectors, as well as the surjectivity of quasibounded operators. Finally, some approximate fixed point theorems for multivalued mappings defined on Banach spaces.

Weak and strong topologies play a role here and both bounded and unbounded regions are considered. The authors explicate a method developed to indicate how to use approximate fixed point theorems to prove the existence of approximate Nash equilibria for non-cooperative games.

Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

Fixed point theory is a powerful and fruitful tool in modern mathematics and may be considered as a core subject in nonlinear analysis. In the last 50 years, fixed point theory has been a flourishing area of research.


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As such, the monograph begins with an overview of these developments before gravitating towards topics selected to reflect the particular interests of the authors. Springer Professional.

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Back to the search result list. Table of Contents Frontmatter Chapter 1. Basic Concepts Abstract.