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
Generalized G-H-convexity and minimax theorems in G-H-spaces
โ Scribed by R.U. Verma
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 299 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
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In this paper, by applying the technique of continuous partition of unity and Tychonoff's fixed-point theorem, some new collectively fixed-point theorems for a family of set-valued mappings defined on the product space of noncompact G-convex spaces are proved. Our theorems improve, unify, and genera