Derivatives of Set-Valued Maps and Gap Functions for Vector Equilibrium Problems

被引：5

作者：

Mirzaee, Hadi ^{[1
]}

Soleimani-damaneh, Majid ^{[2
,3
]}

机构：

[1] Kharazmi Univ, Fac Math & Comp Sci, Tehran 15618, Iran

[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2014年 / 22卷 / 04期

关键词：

Vector optimization; Contingent derivative; Gap function; Equilibrium problem; Nonsmooth analysis; QUASI-VARIATIONAL INEQUALITY; PROPER EFFICIENCY; SENSITIVITY PROPERTIES; OPTIMIZATION PROBLEMS; EXISTENCE; MAXIMIZATION; RESPECT; SPACES; CONES;

D O I：

10.1007/s11228-014-0286-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the set-valued gap functions for vector equilibrium problems and investigates their differential properties using Hadamard directional differentials. Also, contingent and adjacent derivatives of a class of set-valued maps are characterized. Moreover, some basic properties of phi-contingent and phi-adjacent cones are given in the presence of a nonsmooth kernel function.

引用

页码：673 / 689

页数：17

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