@article{Khuangsatung_Kangtunyakarn_2021, title={A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces}, volume={53}, url={https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3307}, DOI={10.5556/j.tkjm.53.2022.3307}, abstractNote={<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><span style="font-size: 10.000000pt; font-family: ’MinionPro-Regular-Identity-H’;">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 </span><span style="font-size: 10.000000pt; font-family: ’CMMI10’;">q</span><span style="font-size: 10.000000pt; font-family: ’MinionPro-Regular-Identity-H’;">-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. </span></p> </div> </div> </div>}, number={1}, journal={Tamkang Journal of Mathematics}, author={Khuangsatung, Wongvisarut and Kangtunyakarn, Atid}, year={2021}, month={Apr.}, pages={23–36} }