AN INERTIAL BREGMAN HYBRID ALGORITHM FOR APPROXIMATING SOLUTIONS OF FIXED POINT AND VARIATIONAL INEQUALITY PROBLEM IN REAL BANACH SPACES

Authors

  • B. Ali Department of Mathematical Sciences, Bayero University, Kano, Nigeria Author
  • A. M. Hamza School of Continuing Education, Bayero University, Kano, Nigeria Author
  • M. H. Harbau Department of Science and Technology Education, Bayero University, Kano, Nigeria Author

Keywords:

Strong convergence, fixed point problem, variational inequality, Bregman quasi nonexpansive mappings

Subjects:

47H09, 47H10, 47J25

Abstract

In this work, we study an inertial extragradient-like S-iteration process for approximating a common element of the set of solutions of some variational inequality problem involving a monotone Lipschitz map and a fixed point of asymptotically nonexpansive mapping in a reflexive Banach space. The result in this paper is an extension and generalization of some recently announced results.

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Published

2022-07-15

Issue

Vol. 74 No. 3 (2022): Vol. 74, Issue 3

Section

Articles

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Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.