| Title:
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TOPOLOGICAL METHODS IN NONLINEAR FUNCTIONAL ANALYSIS
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| By: |
B. Watson (Editor), S. P. Singh (Editor), S. Thomeier (Editor) |
| Format: |
Paperback |
| List price:
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£39.95 |
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| ISBN 10: |
0821850237 |
| ISBN 13: |
9780821850237 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 December, 1983 |
| Series: |
Contemporary Mathematics 21 |
| Pages: |
218 |
| Description: |
Covers the proceedings of the session on Fixed Point Theory and Applications held at the University of Toronto, August 21-26, 1982. This work presents theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings. |
| Synopsis: |
This volume contains the proceedings of the special session on Fixed Point Theory and Applications held during the Summer Meeting of the American Mathematical Society at the University of Toronto, August 21-26, 1982. The theory of contractors and contractor directions is developed and used to obtain the existence theory under rather weak conditions. Theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings are given. Degree of mapping and its generalizations are given in detail. A class of eventually condensing mappings is studied and multivalued condensing mappings with multiple fixed points are also given.Topological fixed points, including the study of the Nielsen number of a selfmap on a compact surface, extensions of a well-known result of Krasnoselskii's Compression of a Cone Theorem, are given. Also, fixed points, antipodal points, and coincidences of multifunctions are discussed. Several results with applications in the field of partial differential equations are given. Application of fixed point theory in the area of Approximation Theory is also illustrated. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |