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Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

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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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Authors and Affiliations

  1. Department of Mathematics, Shaoxing University, Shaoxing, 312000, Zhejiang Province, P. R. China

    Ya-qin Wang  (王亚琴)

  2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

    Liu-chuan Zeng  (曾六川)

Authors
  1. Ya-qin Wang  (王亚琴)
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  2. Liu-chuan Zeng  (曾六川)
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Corresponding author

Correspondence to Ya-qin Wang  (王亚琴).

Additional information

Communicated by Shi-sheng ZHANG

Project supported by the National Natural Science Foundation of China (No. 11071169)

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Wang, Yq., Zeng, Lc. Hybrid projection method for generalized mixed equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces. Appl. Math. Mech.-Engl. Ed. 32, 251–264 (2011). https://doi.org/10.1007/s10483-011-1411-x

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  • DOI: https://doi.org/10.1007/s10483-011-1411-x

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2010 Mathematics Subject Classification

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