Algorithms of common solutions for a fixed point of hemicontractive-type mapping and a generalized equilibrium problem

  • Authors

    • Habtu Zegeye Botswana International University of Science and Technology
    • Tesfalem Hadush Meche
    • Mengistu Goa Sangago
    2017-04-05
    https://doi.org/10.14419/ijams.v5i1.7270
  • Fixed Points of Mappings, Generalized Equilibrium Problem, Hemicontractive-type Multi-valued Mapping, Iterative Algorithm, Strong Convergence.

  • Abstract

    In this paper, we introduce and study an iterative algorithm for finding a common element of the set of fixed points of a Lipschitz hemicontractive-type multi-valued mapping and the set of solutions of a generalized equilibrium problem in the framework of Hilbert spaces. Our results improve and extend most of the results that have been proved previously by many authors in this research area.

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  • How to Cite

    Zegeye, H., Hadush Meche, T., & Goa Sangago, M. (2017). Algorithms of common solutions for a fixed point of hemicontractive-type mapping and a generalized equilibrium problem. International Journal of Advanced Mathematical Sciences, 5(1), 20-26. https://doi.org/10.14419/ijams.v5i1.7270