DocumentCode
2283590
Title
Existence of solutions for generalized vector equilibrium problems
Author
Zhao, Yali ; Yang, Yang
Author_Institution
Dept. of Math., Bohai Univ. of Technol., Jinzhou, China
Volume
4
fYear
2011
fDate
10-12 June 2011
Firstpage
461
Lastpage
465
Abstract
In this paper, several definitions for generalized convexity and generalized monotonicity are introduced, and the relationships between a generalized vector equilibrium problem and its dual problem for these generalized convex and generalized monotone mappings are considered. By making use of Nadler´s Lemma and the fixed point theorem of set-valued mapping, the existence theorems of solutions for the generalized vector equilibrium problems are obtained. The results presented here are more general and interesting.
Keywords
Banach spaces; convex programming; set theory; Banach spaces; Nadler lemma; existence theorem; fixed point theorem; generalized convexity; generalized monotonicity; generalized vector equilibrium problem; set-valued mapping; Coercive force; Economics; Indexes; Measurement; Optimization; Topology; Existence; Hemicontinuous; Presudoconvex; Quasiconvex; Quasimonotone;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-4244-8727-1
Type
conf
DOI
10.1109/CSAE.2011.5952889
Filename
5952889
Link To Document