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http://dx.doi.org/10.4134/BKMS.2011.48.5.991

AN ITERATION SCHEMES FOR NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITIES  

Wang, Hong-Jun (College of Mathematics and Information Science Henan Normal University)
Song, Yi-Sheng (College of Mathematics and Information Science Henan Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 991-1002 More about this Journal
Abstract
An iterative algorithm is provided to find a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of some variational inequality in a Hilbert space. Using this result, we consider a strong convergence result for finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping. Our results include the previous results as special cases and can be viewed as an improvement and refinement of the previously known results.
Keywords
metric projection; inverse-strongly monotone mapping; nonexpansive mapping; variational inequality; strong convergence;
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