MIXED INVEX EQUILIBRIUM PROBLEMS WITH GENERALIZED RELAXED MONOTONE AND RELAXED INVARIANT PSEUDOMONOTONE MAPPINGS

被引：3
|
作者：
Sahu, Bijaya Kumar [1 ]
Pani, Sabyasachi [1 ]
Mohapatra, R. N. [2 ]
机构：
[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, India
[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 01期
关键词：
Equilibrium problem; generalized relaxed eta - alpha monotonicity; relaxed rho - theta invariant pseudomonotonicity; KKM mappings; VARIATIONAL-LIKE INEQUALITIES; EXISTENCE;
D O I：
10.7153/mia-2020-23-16
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce generalized relaxed monotone mappings and relaxed invariant pseudomonotone mappings for bi-functions. By using KKM technique, we establish certain existence results for mixed invex equilibrium problems with the generalized relaxed monotone mappings and some of the results for invex equilibrium problems with the relaxed invariant pseudomonotone mappings in Banach spaces.
引用
收藏
页码：201 / 215
页数：15
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