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.
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页码：2397 / 2409
页数：13
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