First, we give new existence theorems for maximal elements in noncompact H-spaces, and then, as applications, the equilibrium problems in a qualitative game and an abstract economy are studied. (~) 2000 Elsevier Science Ltd. All rights reserved.
A new maximal element theorem in -space with applications
โ Scribed by Weiping Guo; Y.J. Cho
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 223 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, a new maximal element theorem is proved in H -space and, as applications, the Browder-Hartman-Stampacchia variational inequalities and the complementarity problem are discussed in Banach spaces and locally convex space, respectively.
๐ SIMILAR VOLUMES
This paper is a continuation of the preceding paper of the author. Four classes of systems of generalized vector quasi-equilibrium problems are introduced and studied in FC-spaces. The notions of C i (x)-FC-quasiconvexity, C i (x)-quasiconvexity and C i (x)quasiconvexity-like for set-valued mappings
Let I be any index set. Some new families of G KKM -mappings and G KKM -majorized mappings from a topological space X into finite continuous topological spaces (Y i , ฯ N i ) (in short, FC-spaces) involving a set-valued mapping T โ KKM(Y, X ) with KKM property are introduced where Y = iโI Y i . Some