The Hierarchical Minimax Inequalities for Set-Valued Mappings

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 illustrat...

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Main Authors: Yen-Cherng Lin, Chin-Tzong Pang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/190821
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author Yen-Cherng Lin
Chin-Tzong Pang
author_facet Yen-Cherng Lin
Chin-Tzong Pang
author_sort Yen-Cherng Lin
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-f51c49d0fead46eda1f0afdfb7b23c102025-02-03T01:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/190821190821The Hierarchical Minimax Inequalities for Set-Valued MappingsYen-Cherng Lin0Chin-Tzong Pang1Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 40421, TaiwanDepartment of Information Management, and Innovation Center for Big Data and Digital Convergence, Yuan Ze University, Chung-Li 32003, TaiwanWe 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.http://dx.doi.org/10.1155/2014/190821
spellingShingle Yen-Cherng Lin
Chin-Tzong Pang
The Hierarchical Minimax Inequalities for Set-Valued Mappings
Abstract and Applied Analysis
title The Hierarchical Minimax Inequalities for Set-Valued Mappings
title_full The Hierarchical Minimax Inequalities for Set-Valued Mappings
title_fullStr The Hierarchical Minimax Inequalities for Set-Valued Mappings
title_full_unstemmed The Hierarchical Minimax Inequalities for Set-Valued Mappings
title_short The Hierarchical Minimax Inequalities for Set-Valued Mappings
title_sort hierarchical minimax inequalities for set valued mappings
url http://dx.doi.org/10.1155/2014/190821
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