Set-Valued Resolvent Equations and Mixed Variational Inequalities

Noor, MA; Noor, KI; Rassias, ThM

dc.contributor.author	Noor, MA	en
dc.contributor.author	Noor, KI	en
dc.contributor.author	Rassias, ThM	en
dc.date.accessioned	2014-03-01T01:14:09Z
dc.date.available	2014-03-01T01:14:09Z
dc.date.issued	1998	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12887
dc.subject	Fixed Point	en
dc.subject	Iterative Algorithm	en
dc.subject	Optimization Problem	en
dc.subject	Variational Inequality	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ITERATIVE METHOD	en
dc.subject.other	MAPS	en
dc.title	Set-Valued Resolvent Equations and Mixed Variational Inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.1997.5893	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.1997.5893	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In this paper, we introduce and study a new class of variational inequalities, which is called the generalized set-valued mixed variational inequality. The resolvent operator technique is used to establish the equivalence among generalized set-valued variational inequalities, fixed point problems, and the generalized set-valued resolvent equations. This equivalence is used to study the existence of a solution of set-valued variational inequalities and to suggest a number of iterative algorithms for solving variational inequalities and related optimization problems. The results proved in this paper represent a significant refinement and improve ment of the previously known results in this area. (C) 1998 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.1997.5893	en
dc.identifier.isi	ISI:000073041300022	en
dc.identifier.volume	220	en
dc.identifier.issue	2	en
dc.identifier.spage	741	en
dc.identifier.epage	759	en