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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 2 ›› Issue (32): 251-264.doi: https://doi.org/10.1007/s10483-011-1411-x

• Articles • 上一篇    

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

王亚琴1，曾六川2   

  1. 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
  • 收稿日期:2010-10-06 出版日期:2011-01-24 发布日期:2011-01-24

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

 WANG Ya-Qin1, ZENG Liu-Chuan2   

  1. 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
  • Received:2010-10-06 Online:2011-01-24 Published:2011-01-24

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854

被引次数

21

摘要： 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.

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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