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

Monairah Alansari, Rehan Ali, Mohammad Farid
2020 Journal of Inequalities and Applications  
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. MSC: 47H09; 47H05; 47J25
doi:10.1186/s13660-020-02313-z fatcat:sug6jpmsovhw7kynj5szpts2ia