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http://dx.doi.org/10.11568/kjm.2012.20.2.225

STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES  

Jeong, Jae Ug (Department of Mathematics Dongeui University)
Publication Information
Korean Journal of Mathematics / v.20, no.2, 2012 , pp. 225-237 More about this Journal
Abstract
In this paper, we introduce a new iterative scheme to investigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequalities for a $k$-strict pseudo-contraction by relaxed extra-gradient methods. Strong convergence theorems are established in $q$-uniformly smooth Banach spaces.
Keywords
Strong convergence; k-strict pseudo-contraction; q-uniformly smooth Banach space; variational inequality;
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