BROWDER TYPE FIXED POINT THEOREM ON HADAMARD MANIFOLDS WITH APPLICATIONS

被引：0

作者：

Al-Homidan, Suliman ^{[1
]}

Ansari, Qamrul Hasan ^{[1
,2
]}

Islam, Monirul ^{[2
]}

机构：

[1] King Fand Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 11期

关键词：

Browder type fixed point theorem; maximal element theorem; quasi-equilibrium problems; Hadarnard manifolds; MAXIMAL ELEMENT THEOREMS; EQUILIBRIUM PROBLEMS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a Browder type fixed point theorem in the setting of Hadamard manifolds and derive a maximal element theorem, Ky Fan section theorem and equilibrium existence theorem for one person game. By using these results, we derive the existence of solutions of quasi-equilibrium problems in the setting of Hadamard manifolds. Some special cases of quasi-equilibrium problems are also presented.

引用

页码：2397 / 2409

页数：13

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