Generalized vector equilibrium problems on Hadamard manifolds

被引：1

作者：

Jana, Shreyasi ^{[1
]}

Nahak, Chandal ^{[1
]}

Ionescu, Cristiana ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

[2] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 03期

关键词：

Hadamard manifold; variational inequality; equilibrium problem; KKM mapping; VARIATIONAL-INEQUALITIES; MONOTONE; EXISTENCE; FIELDS;

D O I：

10.22436/jnsa.009.03.64

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study several types of Generalized Vector Equilibrium Problems (GVEP) on Hadamard manifolds. We prove sufficient conditions under which the solution set of (GVEP) 's is nonempty. As an application, we prove existence theorems for the system of generalized vector variational inequality problems and the system of generalized Pareto optimization problems. (C) 2016 All rights reserved.

引用

页码：1402 / 1409

页数：8

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