Approximation of common solutions of fixed point problem for α-hemicontractive mapping, split equilibrium and variational inequality problems
Abstract
ln this paper, a Halpern-type algorithm for approximating a common fixed point of multivalued α-hemicontractive mappings and a set of solutions of split equilibrium and variational inequality problems is constructed. Strong convergence of the sequence generated by the algorithm is proved in the setting real Hilbert spaces. Our results improved and generalised the results of Meche and Zegeye [2] in particular and some recent results in Literature.
Copyright © 2021 Imo Kalu Agwu, Donatus Ikechi Igbokwe, Austine E. Ofem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
I. K. Agwu, D. I. Igbokwe, A. E. Ofem, Approximation of common solutions of fixed point problem for α-hemicontractive mapping, split equilibrium and variational inequality problems, Adv. Fixed Point Theory 11 (2021), 5. https://doi.org/10.28919/afpt/5231
BibTeX
@article{Agwu2021,
author = {Agwu, Imo Kalu and Igbokwe, Donatus Ikechi and Ofem, Austine E.},
title = {Approximation of common solutions of fixed point problem for α-hemicontractive mapping, split equilibrium and variational inequality problems},
journal = {Adv. Fixed Point Theory},
volume = {11},
year = {2021},
pages = {5},
doi = {10.28919/afpt/5231}
}