Topics in metric fixed point theory / Kazimierz Goebel, Institute of of Mathematics, Marie Curie Sklowdowska University, Lublin, Poland, W.A. Kirk, Department of Mathematics, University of Iowa, Iowa City, Iowa, U.S.A.
| Title | Topics in metric fixed point theory / Kazimierz Goebel, Institute of of Mathematics, Marie Curie Sklowdowska University, Lublin, Poland, W.A. Kirk, Department of Mathematics, University of Iowa, Iowa City, Iowa, U.S.A. |
|---|---|
| Publication Date: | 1990 |
| Publication Place | Cambridge ; New York - Cambridge University Press, 1990. |
| Subject | Fixed point theory |
| Type | Book |
| Language | Arabic |
| Digital | No |
| Manuscript | No |
| Pages Count | 244 |
| Physical Dimensions | 24 cm |
| Library: | The Institute for Advanced Study (IAS) |
| Record ID | 3100001~!114203~!4704 |
| Library Location | Math Stacks |
| Date | 1990 |
| Notes | Includes bibliographical references (pages 234-241) and index.. 114203. viii, 244 pages : illustrations ; 24 cm. |
| İçindekiler | Preliminaries -- Banach Contraction Principle -- Nonexpansive mappings: introduction -- The basic fixed point theorems for nonexpansive mappings -- Scaling the convexity of the unity ball -- The modulus of convexity and normal structure -- Normal structure and smoothness -- Conditions involving compactness -- Sequential approximation techniques for nonexpansive mappings -- Weak sequential approximations -- Properties of fixed point sets and minimal sets -- Special properties of Hilbert space -- Applications to accretivity -- Ultrafilter methods -- Set-valued mappings -- Uniformly Lipschitzian mappings -- Rotative mappings -- The theorems of Brouwer and Schauder -- Lipschitzian mappings -- Minimal displacement -- The retraction problem. |
| ISBN | 0521382890, 9780521382892 |
| Seri | Cambridge studies in advanced mathematics 28, Cambridge studies in advanced mathematics 28. |
