Hybrid projection method for generalized mixed equilibrium problems,variational inequality problems,and fixed point problems in Banach spaces |
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| Authors: | Ya-qin Wang Liu-chuan Zeng |
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| Affiliation: | Ya-qin WANG1,Liu-chuan ZENG2(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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