VECTOR PARAMETRIC QUASI-EQUILIBRIUM PROBLEMS FOR THE SUM OF TWO SET-VALUED MAPPINGS

被引：2
|
作者：
Darabi, Marzie [1 ]
Soltani, Zeinab [2 ]
Zafarani, Jafar [3 ,4 ]
机构：
[1] Golpayegan Univ Technol, Dept Basic Sci, Esfahan, Iran
[2] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan 8731753153, Iran
[3] Sheikhbahaee Univ, Dept Math, Esfahan, Iran
[4] Univ Isfahan, Esfahan, Iran
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 02期
关键词：
Equilibrium problem; Set-valued map;   Scalarization; Gap function; EXISTENCE;
D O I：
10.23952/jnva.5.2021.2.06
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider parametric quasi-equilibrium problems for the sum of two set -valued mappings. We present sufficient conditions for the existence of solution of these problems by using a generalized KKM-type theorem in topological vector spaces. Also, we obtain the equivalence between the existence of solution of these problems and scalar equilibrium problem, by a new scalarization.
引用
收藏
页码：267 / 279
页数：13
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