Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces |
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Authors: | WANG Ya-Qin ZENG Liu-Chuan |
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Affiliation: | 1. Department of Mathematics, Shaoxing University, Shaoxing 312000, Zhejiang Province, P. R. China;2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China |
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Abstract: | A new hybrid projection iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of fixed points of a relatively weak nonexpansive mapping in the Banach spaces. The obtained results generalize and improve the recent results announced by many other authors. |
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Keywords: | relatively weak nonexpansive mapping strong convergence variational inequality problem inverse strongly monotone mapping generalized mixed equilibrium problem |
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