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Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces
Authors:WANG Ya-Qin  ZENG Liu-Chuan
Institution: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
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.
Keywords:relatively weak nonexpansive mapping  strong convergence  variational inequality problem  inverse strongly monotone mapping  generalized mixed equilibrium problem
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