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Generalized 2-KKM theorems and their applications in hyperconvex metric spaces

✍ Scribed by Tong-Huei Chang; Chi-Ming Chen; Jin-Hsiang Chang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
197 KB
Volume
69
Category
Article
ISSN
0362-546X

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In this work, we establish the intersection property for a family of admissible subsets in a hyperconvex metric space, and we apply this intersection property to get generalized KKM theorems, coincidence theorems, variational inequality theorems and minimax inequality theorems.

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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 theore