Topological Degree Theory and ApplicationsSince the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its ap |
Contents
| 1 | |
LERAY SCHAUDER DEGREE THEORY | 25 |
DEGREE THEORY FOR SET CONTRACTIVE MAPS | 55 |
GENERALIZED DEGREE THEORY FOR APROPER MAPS | 75 |
COINCIDENCE DEGREE THEORY | 105 |
DEGREE THEORY FOR MONOTONETYPE MAPS | 127 |
FIXED POINT INDEX THEORY | 169 |
REFERENCES | 195 |
| 217 | |
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Common terms and phrases
a e OQ A-proper with respect Amer Appl applications assume assumption ball Banach space called class S+ completes the proof conclusion cone Consequently Consider constant continuous compact mapping continuous function continuous mapping contradiction convergent countably condensing mapping defined Definition deg(f deg(I deg(L deg(T degree theory differential equations easy equations Example exists finite dimensional subspace fixed point following conditions Fredholm mapping function Hence holds homotopy implies ind(T index Zero integer Ker(L L-compact Lemma linear mapping of class mapping of index Math maximal monotone measurable Obviously open bounded subset open subsets operator presented problem projection scheme properties Proposition prove Q O D(T Q O P real Banach space satisfying sequence Show solution subsequence Suppose Take Theorem topological degree true upper semicontinuous