The Hierarchical Minimax Inequalities for Set-Valued Mappings-Reference-Cited by-同舟云学术

The Hierarchical Minimax Inequalities for Set-Valued Mappings

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Lin Yen-Cherng¹^ORCID,Pang Chin-Tzong²^ORCID

Affiliation:

1. Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 40421, Taiwan

2. Department of Information Management, and Innovation Center for Big Data and Digital Convergence, Yuan Ze University, Chung-Li 32003, Taiwan

Abstract

We study the minimax inequalities for set-valued mappings with hierarchical process and propose two versions of minimax inequalities in topological vector spaces settings. As applications, we discuss the existent results of solutions for set equilibrium problems. Some examples are given to illustrate the established results.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/190821.pdf

Reference11 articles.

1. Minimax Theorems for Set-Valued Mappings under Cone-Convexities

2. GENERALIZED KKM THEOREM WITH APPLICATIONS TO GENERALIZED MINIMAX INEQUALITIES AND GENERALIZED EQUILIBRIUM PROBLEMS

3. Generalized minimax inequalities for set-valued mappings

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