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Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces

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  • H. Zegeye
  • N. Shahzad

Abstract

We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.

Suggested Citation

  • H. Zegeye & N. Shahzad, 2014. "Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:584395
    DOI: 10.1155/2014/584395
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    Cited by:

    1. Simeon Reich & Truong Minh Tuyen, 2020. "Two Projection Algorithms for Solving the Split Common Fixed Point Problem," Journal of Optimization Theory and Applications, Springer, vol. 186(1), pages 148-168, July.

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