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Approximating a common solution of extended split equality equilibrium and fixed point problems

Author

Listed:
  • F. U. Ogbuisi

    (University of KwaZulu-Natal
    University of Nigeria)

  • F. O. Isiogugu

    (University of KwaZulu-Natal
    University of Nigeria
    DST-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS))

  • J. M. Ngnotchouye

    (University of KwaZulu-Natal)

Abstract

In this paper, we study an extension of the split equality equilibrium problem called the extended split equality equilibrium problem. We give an iterative algorithm for approximating a solution of extended split equality equilibrium and fixed point problems and obtained a strong convergence result in a real Hilbert space. We further applied our result to solve extended split equality monotone variational inclusion and equilibrium problems. The result of this paper complements and extends results on split equality equilibrium problems in the literature.

Suggested Citation

  • F. U. Ogbuisi & F. O. Isiogugu & J. M. Ngnotchouye, 2021. "Approximating a common solution of extended split equality equilibrium and fixed point problems," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 46-61, March.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:1:d:10.1007_s13226-021-00124-6
    DOI: 10.1007/s13226-021-00124-6
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    References listed on IDEAS

    as
    1. Mohammad Eslamian & Abdul Latif, 2013. "General Split Feasibility Problems in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
    2. H. Iiduka, 2009. "Hybrid Conjugate Gradient Method for a Convex Optimization Problem over the Fixed-Point Set of a Nonexpansive Mapping," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 463-475, March.
    3. Mohammad Eslamian & Ali Abkar, 2014. "Viscosity iterative scheme for generalized mixed equilibrium problems and nonexpansive semigroups," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 554-570, July.
    Full references (including those not matched with items on IDEAS)

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