Existence results for vector variational inequality problems on Hadamard manifolds

被引：14

作者：

Chen, Sheng-lan ^{[1
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Sch Sci, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China

来源：

OPTIMIZATION LETTERS | 2020年 / 14卷 / 08期

关键词：

Vector variational inequality; C-pseudomonotone; v-hemicontinuous; v-coercive; Geodesic convex; Hadamard manifold; PROXIMAL POINT ALGORITHM; EQUILIBRIUM PROBLEMS; CONVEX FEASIBILITY; NONSMOOTH ANALYSIS; FIELDS;

D O I：

10.1007/s11590-020-01562-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C-pseudomonotone, v-hemicontinuous and v-coercive operators are given. Some existence results for VVIP are obtained with the assumptions of C-pseudomonotonicity and v-hemicontinuity. These new results extend some corresponding known results given in literatures.

引用

页码：2395 / 2411

页数：17

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