Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2010; 25(2): 207-214

Printed June 1, 2010

https://doi.org/10.4134/CKMS.2010.25.2.207

Copyright © The Korean Mathematical Society.

Approximation of solutions of a generalized variational inequality problem based on iterative methods

Sun Young Cho

Gyeongsang National University

Abstract

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In this paper, a generalized variational inequality problem is considered. An iterative method is studied for approximating a solution of the generalized variational inequality problem. Strong convergence theorem are established in a real Hilbert space.

Keywords: variational inequality, solution, fixed point, nonexpansive mapping

MSC numbers: 47H05, 47H09, 47J25

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