Title :
Gap Functions and Existence of Solutions for a System of Generalized Vector Equilibrium Problems
Author :
Nan, Lu ; Zhao, Yali
Author_Institution :
Coll. of Math. & Phys., Bohai Univ., Jinzhou, China
Abstract :
In this paper, a gap function for a system of generalized vector equilibrium problems (for short, SGVEP) is introduced and studied. Some necessary and sufficient conditions for the SGVEP are established. Characterizations of the solutions set for the SGVEP are also derived. Furthermore, some existence results of solutions for the SGVEP are proved.
Keywords :
variational techniques; SGVEP; gap functions; solutions set; system of generalized vector equilibrium problems; variational inequalities; Educational institutions; Indexes; Optimization; Physics; Sufficient conditions; Vectors; Convex cones; Gap functions; SGVEP; Set-valued mappings;
Conference_Titel :
Computer Science and Electronics Engineering (ICCSEE), 2012 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-0689-8
DOI :
10.1109/ICCSEE.2012.237
