A Hybrid Extragradient Method for Solving Ky Fan Inequalities, Variational Inequalities and Fixed Point Problems.

Authors :: Phiangsungnoen, Supak
Kumam, Poom
Source :: Proceedings of the International MultiConference of Engineers & Computer Scientists 2013; 2013, p1-6, 6p
Publication Year :: 2013
Abstract: The purpose of this paper is to introduce a new hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a strict pseudocontraction mapping in Hilbert spaces. Consequently, we obtain the strong convergence of an iterative algorithm generated by the hybrid extragradient projection method, under some suitable assumptions the function associated with Ky Fan inequality is pseudomonotone and weakly continuous. [ABSTRACT FROM AUTHOR]

Subjects :: VARIATIONAL inequalities (Mathematics)
FIXED point theory
CONTINUITY
HILBERT space
SET theory

Language :: English
Database :: Supplemental Index
Journal :: Proceedings of the International MultiConference of Engineers & Computer Scientists 2013
Publication Type :: Conference
Accession number :: 96697270

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