English

A strong convergence theorem for solving an equilibrium problem and a fixed point problem using the Bregman distance

Optimization and Control 2021-12-28 v2 Functional Analysis

Abstract

In this paper, using the Bregman distance, we introduce a new projection-type algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points. Then the strong convergence of the sequence generated by the algorithm will be established under suitable conditions. Finally, using MATLAB software, we present a numerical example to illustrate the convergence performance of our algorithm.

Keywords

Cite

@article{arxiv.2109.04245,
  title  = {A strong convergence theorem for solving an equilibrium problem and a fixed point problem using the Bregman distance},
  author = {Mostafa Ghadampour and Ebrahim Soori and Ravi P. Agarwal and Donal O'Regan},
  journal= {arXiv preprint arXiv:2109.04245},
  year   = {2021}
}

Comments

19 pages

R2 v1 2026-06-24T05:49:28.457Z