Generalized Browder-type fixed point theorem with strongly geodesic convexity on Hadamard manifolds with applications

Zhe Yang () and Yong Jian Pu
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Zhe Yang: Chongqing Technology and Business University
Yong Jian Pu: Chongqing University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 2, 129-144

Abstract: Abstract In this paper, a generalized Browder-type fixed point theorem on Hadamard manifolds is introduced, which can be regarded as a generalization of the Browder-type fixed point theorem for the set-valued mapping on an Euclidean space to a Hadamard manifold. As applications, a maximal element theorem, a section theorem, a Ky Fan-type Minimax Inequality and an existence theorem of Nash equilibrium for non-cooperative games on Hadamard manifolds are established.

Keywords: Generalized Browder-type fixed point theorem; Maximal element theorem; Hadamard manifolds; Ky Fan Minimax Inequality; Section theorem; Nash equilibrium (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0008-1

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