On hemicontinuity of bifunctions for solving equilibrium problems

Autor:	Alleche Boualem
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	equilibrium problem variational inequality problem multivalued mapping hemicontinuity pseudomonotonicity quasimonotonicity 65k10 90c33 91b50 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 3, Iss 2, Pp 69-80 (2014)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X 93141246
DOI:	10.1515/anona-2013-0030
Popis:	This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems. It results that the notion of hemicontinuity is not needed on the whole space when solving equilibrium problems involving pseudomonotone or quasimonotone bifunctions. Generalizations of some well-known results concerning existence of solutions of equilibrium problems are obtained and applications to equilibrium problems involving two, rather than one, bifunctions are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/eff67f8fa9c94d3e95f9314124656df7 Zobrazit plný text záznamu View record in DOAJ