Title :
A minimax inequality in L-convex spaces and its applications
Author_Institution :
Sch. of Bus., Jiangsu Teachers Univ. of Technol., Changzhou, China
Abstract :
In this paper, by using a minimax inequality in L-convex spaces, we establish Ky Fan´s section theorem and discuss its applications to minimax inequality, maximal element theorem in L-convex spaces. As applications, some new existent theorems for abstract generalized vector equilibrium are obtained in L-convex spaces.
Keywords :
algebra; convex programming; minimax techniques; Ky Fan section theorem; L-convex spaces; maximal element theorem; minimax inequality; vector equilibrium; L-convex space; maximal element; minimax inequality; section theorem; vector equilibrium problem;
Conference_Titel :
Intelligent Computing and Intelligent Systems (ICIS), 2010 IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-6582-8
DOI :
10.1109/ICICISYS.2010.5658326
