Strong convergence of an inertial iterative algorithm for variational inequality problem, generalized equilibrium problem, and fixed point problem in a Banach space

Journal of inequalities and applications

article

Monairah Alansari¹  Rehan Ali²  Mohammad Farid³ 

[1] King Abdulaziz University;Department of Mathematics;Deanship of Educational Services, Qassim University

关键词: Generalized equilibrium problem;    Variational inequality problem;    Relatively nonexpansive mapping;    Inertial hybrid iterative method;   

DOI  :  10.1186/s13660-020-02313-z

学科分类：电力

来源: SpringerOpen

【 摘 要 】

We propose and analyze an inertial iterative algorithm to approximate a common solution of generalized equilibrium problem, variational inequality problem, and fixed point problem in the framework of a 2-uniformly convex and uniformly smooth real Banach space. Further, we study the convergence analysis of our proposed iterative method. Finally, we give application and a numerical example to illustrate the applicability of the main algorithm.

【 授权许可】

CC BY