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

Autors/ores

  • 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

Paraules clau:

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

Resum

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.

Publicades

2023-10-31

Com citar

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://journal.tnsmb.org/index.php/ijmam/article/view/111