Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
<p>Abstract</p> <p>In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterat...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2011-01-01
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Series: | Fixed Point Theory and Applications |
Subjects: | |
Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/53 |
Summary: | <p>Abstract</p> <p>In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings. The proposed iterative method combines two well-known methods: extragradient method and <it>CQ </it>method. Under some mild conditions, we prove the strong convergence of the sequences generated by the proposed method.</p> <p> <b>Mathematics Subject Classification (2000): </b>47H05; 47H09; 47H10; 47J05; 47J25.</p> |
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ISSN: | 1687-1820 1687-1812 |