Convergence analysis of an inertial algorithm for generalized mixed equilibrium problems and Bregman quasi asymptotically nonexpansive mappings

Authors

  • L. Umar Department of Mathematics, Federal College of Education, Zaria, Kaduna, Nigeria
  • L.Y. Haruna Department of Mathematical Sciences, Kaduna state University, Kaduna, Nigeria;
  • M.K. Tafida Department of Mathematics, Federal College of Education, Zaria, Kaduna, Nigeria

Keywords:

strong convergence, generalized mixed equilibrium problem, Bregman projections, Bregman quasi asymptotically nonexpansive mappings

Abstract

The aim of this article is to introduce an inertial algorithm for approximating solution of a system of generalized mixed equilibrium problem and common fixed point of countable families of Bregman quasi asymptotically nonexpansive mappings. The strong convergence theorem has been establish in reflexive Banach spaces. Our results are significant improvement of some recent results announced in the literature.

Downloads

Published

2023-10-31

How to Cite

Umar, L. ., Haruna, L. ., & Tafida, M. . (2023). Convergence analysis of an inertial algorithm for generalized mixed equilibrium problems and Bregman quasi asymptotically nonexpansive mappings. International Journal of Mathematical Analysis and Modelling, 6(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/111

Issue

Vol. 6 No. 2 (2023): Volume 6, Issue 2 (Oct. - Nov. 2023)

Section

Articles