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http://dx.doi.org/10.11568/kjm.2015.23.3.409

STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A MODIFIED SYSTEM OF VARIATIONAL INEQUALITIES AND A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN BANACH SPACES  

JEONG, JAE UG (Department of Mathematics Dongeui University)
Publication Information
Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 409-425 More about this Journal
Abstract
In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.
Keywords
Fixed point; inverse strongly accretive mapping; variational inequality; nonexpansive mapping;
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