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Timilehin Opeyemi Alakoya, Abd-semii Oluwatosin-Enitan Owolabi, Oluwatosin Temitope Mewomo, An inertial algorithm with a self-adaptive step size for a split equilibrium problem and a fixed point problem of an infinite family of strict pseudo-contractions

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DOI: 10.23952/jnva.5.2021.5.12

Volume 5, Issue 5, 1 October 2021, Pages 803-829

 

Abstract. In this paper, we study a split equilibrium problem and a fixed point problem with an infinite family of strict pseudo-contractive mappings. We introduce a new inertial iterative scheme with a self-adaptive step size for obtaining a common solution of the problems. Under mild conditions on the control parameters, we prove a strong convergence result of the proposed algorithm in Hilbert spaces. The implementation of our proposed algorithm does not require a prior estimate of the norm of the bounded linear operator. Finally, we present some numerical experiments to demonstrate the efficiency of the proposed algorithm in comparison with some existing results in the current literature.

 

How to Cite this Article:
Timilehin Opeyemi Alakoya, Abd-semii Oluwatosin-Enitan Owolabi, Oluwatosin Temitope Mewomo, An inertial algorithm with a self-adaptive step size for a split equilibrium problem and a fixed point problem of an infinite family of strict pseudo-contractions, J. Nonlinear Var. Anal. 5 (2021), 803-829.