HOLDER CONTINUITY OF SOLUTION MAPS TO A PARAMETRIC WEAK VECTOR EQUILIBRIUM PROBLEM

被引：0

作者：

Preechasilp, P. ^{[1
]}

Wangkeeree, R. ^{[2
]}

机构：

[1] Pibulsongkram Rajabhat Univ, Program Math, Phitsanulok, Thailand

[2] Naresuan Univ, Dept Math, Phitsanulok, Thailand

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 06期

关键词：

Vector equilibrium problem; solution mapping; Holder continuity; linear scalarization; SOLUTION MAPPINGS; VARIATIONAL INEQUALITY; APPROXIMATE SOLUTIONS; SENSITIVITY; STABILITY; SET;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.

引用

页码：1751 / 1767

页数：17

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