Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi--Nonexpansive Mapping and Relatively Nonexpansive Mapping

نویسندگان

  • Min Liu
  • Shih-Sen Chang
  • Ping Zuo
چکیده

We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi-φ-nonexpansive mapping in a Banach space by using the shrinking Projection method. Our results improve the main results in S. Takahashi and W. Takahashi 2008 and Takahashi and Zembayashi 2008 . Moreover, the method of proof adopted in the paper is different from that of S. Takahashi and W. Zembayashi 2008 .

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تاریخ انتشار 2010