A forward-backward splitting algorithm for quasi-Bregman nonexpansive mapping, equilibrium problems and accretive operators.

Authors

  • Bashir Ali Department of Mathematical Sciences Bayero University, Kano http://orcid.org/0000-0003-4379-2418
  • Mohammed Suleman Lawan DEPARTMENT OF MATHEMATICS AND STATISTICS, KADUNA POLYTECHNIC, KADUNA, NIGERIA

Abstract

In this paper, we study a forward-backward splitting algorithm for fixed points of a quasi-Bregman nonexpansive mapping, solution of equilibrium problem and zero points of the sum of families of accretive operators and $\alpha_i$-inverse-strongly accretive operators. We proved a weak convergence of the sequences generated by this algorithm in reflexive Banach space. Our result extend and improve important recent results announced by many authors.

Author Biographies

Bashir Ali, Department of Mathematical Sciences Bayero University, Kano

Professor

Department of Mathematical Sciences
Bayero University, Kano

Mohammed Suleman Lawan, DEPARTMENT OF MATHEMATICS AND STATISTICS, KADUNA POLYTECHNIC, KADUNA, NIGERIA

Lecturer

DEPARTMENT OF MATHEMATICS AND STATISTICS,
KADUNA POLYTECHNIC,
KADUNA, NIGERIA

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Published

2021-05-18

How to Cite

Ali, B., & Lawan, M. S. (2021). A forward-backward splitting algorithm for quasi-Bregman nonexpansive mapping, equilibrium problems and accretive operators. Journal of the Nigerian Mathematical Society, 40(1), 31–46. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/376

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