An inertial iterative algorithm for generalized equilibrium problems and Bregman relatively nonexpansive mappings in Banach spaces

Journal of Inequalities and Applications

Mohammad Farid¹  Rehan Ali²  Monairah Alansari³ 

[1] Department of Mathematics, Deanship of Educational Services, Qassim University, 51452, Buraidah, Saudi Arabia;Department of Mathematics, Jamia Millia Islamia, 110025, New Delhi, India;King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia;

关键词: Bregman relatively nonexpansive mapping;    Fixed point problem;    Generalized equilibrium problem;    Inertial hybrid iterative method;    47H09;    47H05;    47J25;   

DOI  :  10.1186/s13660-021-02749-x

来源: Springer

【 摘 要 】

The aim of this paper is to introduce and study an inertial hybrid iterative method for solving generalized equilibrium problems involving Bregman relatively nonexpansive mappings in Banach spaces. We study the strong convergence for the proposed algorithm. Finally, we list some consequences and computational example to emphasize the efficiency and relevancy of main result.

【 授权许可】

CC BY