ABSTRACT
In this thesis, a hybrid extragradient-like iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and common fixed points of a countable family of relatively nonexpansive maps in a uniformly smooth and 2-uniformly convex real Banach space is introduced. A strong convergence theorem for the sequence generated by this algorithm is proved. The theorem obtained is a significant improvement of the results of Ceng et al. (J. Glob. Optim. 46(2010), 635-646). Finally, some applications of the theorem are presented.
Chinwendu, O (2021). A Hybrid Algorithm For Approximating A Common Element Of Solutions Of A Variational Inequality Problem And A Convex Feasibility Problem. Afribary. Retrieved from https://afribary.com/works/a-hybrid-algorithm-for-approximating-a-common-element-of-solutions-of-a-variational-inequality-problem-and-a-convex-feasibility-problem
Chinwendu, Okereke "A Hybrid Algorithm For Approximating A Common Element Of Solutions Of A Variational Inequality Problem And A Convex Feasibility Problem" Afribary. Afribary, 15 Apr. 2021, https://afribary.com/works/a-hybrid-algorithm-for-approximating-a-common-element-of-solutions-of-a-variational-inequality-problem-and-a-convex-feasibility-problem. Accessed 18 Apr. 2024.
Chinwendu, Okereke . "A Hybrid Algorithm For Approximating A Common Element Of Solutions Of A Variational Inequality Problem And A Convex Feasibility Problem". Afribary, Afribary, 15 Apr. 2021. Web. 18 Apr. 2024. < https://afribary.com/works/a-hybrid-algorithm-for-approximating-a-common-element-of-solutions-of-a-variational-inequality-problem-and-a-convex-feasibility-problem >.
Chinwendu, Okereke . "A Hybrid Algorithm For Approximating A Common Element Of Solutions Of A Variational Inequality Problem And A Convex Feasibility Problem" Afribary (2021). Accessed April 18, 2024. https://afribary.com/works/a-hybrid-algorithm-for-approximating-a-common-element-of-solutions-of-a-variational-inequality-problem-and-a-convex-feasibility-problem