# A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces

## Main Article Content

## 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.

## Article Details

*Tamkang Journal of Mathematics*,

*53*(1), 23–36. https://doi.org/10.5556/j.tkjm.53.2022.3307

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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