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http://dx.doi.org/10.7858/eamj.2010.26.1.059

STRONG CONVERGENCE OF EXTENDED GENERAL VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS  

Chen, Jun-Min (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
Zhang, Li-Juan (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
He, Zhen (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
Publication Information
East Asian mathematical journal / v.26, no.1, 2010 , pp. 59-67 More about this Journal
Abstract
In this paper, we suggest and analyze some three step iterative scheme for finding the common elements of the set of the solutions of the extended general variational inequalities involving three operators and the set of the fixed points of nonexpansive mappings. We also consider the convergence analysis of suggested iterative schemes under some mild conditions. Since the extended general variational inequalities include general variational inequalities and several other classes of variational inequalities as special cases, results obtained in this paper continue to hold for these problems. Results obtained in this paper may be viewed as a refinement and improvement of the previously known results.
Keywords
extended general variational inclusion; Relaxed cocoercive mapping; Projection technique; Fixed point problem;
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