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

被引：1

作者：

Zhe Yang

Yong Jian Pu

机构：

[1] School of Economics and Trade, Chongqing Technology and Business University

[2] College of Economics and Business Administration, Chongqing University

来源：

Indian Journal of Pure and Applied Mathematics | 2012年 / 43卷 / 2期

关键词：

Generalized Browder-type fixed point theorem; Hadamard manifolds; Ky Fan Minimax Inequality; Maximal element theorem; Nash equilibrium; Section theorem;

D O I：

10.1007/s13226-012-0008-1

中图分类号：

学科分类号：

摘要：

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. © 2012 The Indian National Science Academy.

引用

页码：129 / 144

页数：15

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