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
โฆ LIBER โฆ
S-G-L-KKM theorems in L-convex space and their applications to minimax inequalities
โ Scribed by Cai-Yun Jin; Cao-Zong Cheng
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 456 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
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In this paper, a new KKM theorem is established in L-convex spaces. As applications, a Ky Fan matching theorem for compactly open covers, a Fan-Browder coincidence theorem, a Fan-Browder fixed point theorem and a maximal element theorem are obtained in Lconvex spaces. These theorems unify, improve a