Mann-type hybrid steepest-descent method for three nonlinear problems

被引：0
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作者：
Abdul Latif
Abdulaziz SM Alofi
Abdullah E Al-Mazrooei
Jen-Chih Yao
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] University of Jeddah,Department of Mathematics
[3] China Medical University,Center for Fundamental Science
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
Mann-type hybrid steepest-descent method; general mixed equilibrium; general system of variational inequalities; nonexpansive mapping; strict pseudocontraction; inverse-strongly monotone mapping; 49J30; 47H09; 47J20; 49M05;
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摘要：
We introduce a Mann-type hybrid steepest-descent iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of general system of variational inequalities, the set of solutions of finitely many variational inequalities, and the set of common fixed points of finitely many nonexpansive mappings and a strict pseudocontraction in a real Hilbert space. We derive the strong convergence of the iterative algorithm to a common element of these sets, which also solves some hierarchical variational inequality.
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