Minimax Theorems for Set-Valued Mappings under Cone-Convexities-Reference-Cited by-同舟云学术

Minimax Theorems for Set-Valued Mappings under Cone-Convexities

Published:2012 Issue: Volume:2012 Page:1-26
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Lin Yen-Cherng¹^ORCID,Ansari Qamrul Hasan²³,Lai Hang-Chin⁴

Affiliation:

1. Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 404, Taiwan

2. Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

4. Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan

Abstract

The aim of this paper is to study the minimax theorems for set-valued mappings with or without linear structure. We define several kinds of cone-convexities for set-valued mappings, give some examples of such set-valued mappings, and study the relationships among these cone-convexities. By using our minimax theorems, we derive some existence results for saddle points of set-valued mappings. Some examples to illustrate our results are also given.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/310818.pdf

Reference16 articles.

1. Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

2. Minimax Theorems

3. A minimax theorem for vector-valued functions