Generalized minimax theorems for two set-valued mappings

Qingbang Zhang; Caozong Cheng; Xuanxuan Li

doi:10.3934/jimo.2013.9.1

Article Contents

2013, Volume 9, Issue 1: 1-12. Doi: 10.3934/jimo.2013.9.1

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Generalized minimax theorems for two set-valued mappings

1.
College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130
2.
College of Applied Sciences, Beijing University of Technology, Beijing 100124

Received: June 30, 2011

Revised: March 31, 2012

Published: December 2012

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Abstract

The generalized minimax theorems of two real set-valued mappings, which generalize and improve the corresponding conclusions of D. Kuroiwa (Appl. Math. Lett., 1996, 9: 97-101.) and Li et.al.(J. Optim. Theory Appl., 2000, 106: 183-200; J. Math. Anal. Appl., 2003, 281: 707-723.), and the generalized minimax theorems of two set-valued mappings valued in Fréchet spaces are proved. Some examples are given also to show the results.

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Mathematics Subject Classification: Primary: 49J53; Secondary: 49K35.

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