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A method for solving the variational inequality problem and fixed point problems in Banach spaces
Author(s)
Khuangsatung, Wongvisarut
Date Issued
April 14, 2021
Type
Article
Abstract
The purpose of this research is to modify Halpern iteration’s process for finding a common element of the set of solutions of a variational inequality problem and the set of fixed points of a strictly pseudo contractive mapping in q-uniformly smooth Banach space. We also introduce a new technique to prove a strong convergence theorem for a finite family of strictly pseudo contractive mappings in q-uniformly smooth Banach space. Moreover, we give a numerical result to illustrate the main theorem.
Citation
Tamkang Journal of Mathematics, 53, 2021