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.
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页码：673 / 689
页数：17
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