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Equilibrium existence theorems of generalized games for generalized -majorized mapping in topological space
- Source :
-
Nonlinear Analysis . Jul2007, Vol. 67 Issue 1, p316-326. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we first introduce generalized -correspondence and generalized -majorized mappings without open lower sections in the nonconvexity setting of topological space. Some existence theorems of maximal elements for generalized -correspondence and generalized -majorized mappings are obtained in topological spaces without convexity. As applications, we establish new equilibrium existence theorems for qualitative games and generalized games with infinite sets of players and generalized -majorized preference correspondences in topological spaces without convexity. Our results generalize and improve the corresponding results in the recent literature. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 67
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 24610883
- Full Text :
- https://doi.org/10.1016/j.na.2006.05.015