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

页码：267 / 279

页数：13

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