Strong convergence theorems based on a new modified extragradient method for variational inequality problems and fixed point problems in Banach spaces |
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Authors: | Gang Cai Shangquan Bu |
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Affiliation: | Department of Mathematical Science, Tsinghua University, 100084 Beijing, China |
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Abstract: | In this paper, we introduce a new iterative algorithm by a modified extragradient method for finding a common element of the set of solutions of a general variational inequality and the set of common fixed points of an infinite family of ki-strict pseudocontractions in a Banach space. We obtain some strong convergence theorems under suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others. |
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Keywords: | Strong convergence General variational inequality Fixed point Strict pseudocontraction |
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