GENERALIZED MONOTONE BIFUNCTIONS AND EQUILIBRIUM PROBLEMS

Authors
BIANCHI M SCHAIBLE S
Citation
M. Bianchi et S. Schaible, GENERALIZED MONOTONE BIFUNCTIONS AND EQUILIBRIUM PROBLEMS, Journal of optimization theory and applications, 90(1), 1996, pp. 31-43
Citations number
22
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
90
Issue
1
Year of publication
1996
Pages
31 - 43
Database
ISI
SICI code
0022-3239(1996)90:1<31:GMBAEP>2.0.ZU;2-X
Abstract
Using quasimonotone and pseudomonotone bifunctions, we derive existenc e results for the following equilibrium problem: given a closed and co nvex subset K of a real topological vector space, find (x) over bar is an element of K such that F((x) over bar, y) greater than or equal to 0 for all y is an element of K. In addition, we study the solution se t and the uniqueness of a solution. The paper generalizes results obta ined recently for variational inequalities.