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Generalized G-KKM Theorems in Generalized Convex Spaces and Their Applications

✍ Scribed by Xie Ping Ding

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 129 KB
Volume: 266
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7207

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✦ Synopsis

Some new generalized G-KKM and generalized S-KKM theorems are proved under the noncompact setting of generalized convex spaces. As applications, some new minimax inequalities, saddle point theorems, a coincidence theorem, and a fixed point theorem are given in generalized convex spaces. These theorems improve and generalize many important known results in recent literature.

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