Viscosity approximation method for modified split generalized equilibrium and fixed point problems

Authors

  • Hammed Anuoluwapo Abass School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • Chinedu Izuchukwu School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
  • Oluwatosin Temitope Mewomo School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

DOI:

https://doi.org/10.33044/revuma.v61n2a13

Abstract

We introduce a viscosity iterative algorithm for approximating a common solution of a modified split generalized equilibrium problem and a fixed point problem for a quasi-pseudocontractive mapping which also solves some variational inequality problems in real Hilbert spaces. The proposed iterative algorithm is constructed in such a way that it does not require the prior knowledge of the operator norm. Furthermore, we prove a strong convergence theorem for approximating the common solution of the aforementioned problems. Finally, we give a numerical example of our main theorem. Our result complements and extends some related works in the literature.

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Author Biography

Oluwatosin Temitope Mewomo, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Senior Lecturer

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Published

2020-12-22

Issue

Vol. 61 No. 2 (2020)

Section

Article

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Copyright (c) 2023 Hammed Abass, Chinedu Izuchukwu, Oluwatosin Mewomo

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