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New existence theorems for maximal elements in noncompact H-spaces with applications to equilibrium of games

โœ Scribed by Xian Wu


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
484 KB
Volume
40
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


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.


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โœ Ji-Cheng Hou ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 439 KB

In this paper, we first prove a new fixed-point theorem from which the Kakutani's fixed-point theorem in locally convex topological vector spaces is immediately extended to H-spaces. Then, we establish a new existence theorem of equilibrium for generalized games in H-spaces, by applying our fixed-po