A Hybrid Extragradient‐Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings
Yaqin Wang, Hong‐Kun Xu, Xiaoli Fang · Journal of Applied Mathematics · 2012
The purpose of this paper is to consider a new scheme by the hybrid extragradient‐like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality, and the set of fixed points of an infinitely family of strictly pseudocontractive mappings in Hilbert spaces. Then, we obtain a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm. Our results extend and improve the results of Issara Inchan (2010) and many others.