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

  • Abstract
  • Keywords
  • References
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  • 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.

  • Keywords

    Fixed Points of Mappings; Generalized Equilibrium Problem; Hemicontractive-type Multi-valued Mapping; Iterative Algorithm; Strong Convergence.

  • References

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Article ID: 7270
DOI: 10.14419/ijams.v5i1.7270

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