Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings
Abstract
This paper deals with a strong convergence theorem for a simultaneous extragradient iterative method to approximate a common solution to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for two countable families of multi-valued demicontractive mappings in real Hilbert spaces. Further, we give a numerical example to justify the main result. The method and results presented in this paper extend and unify some recent known results in the literature.
Copyright © 2019 Kaleem Raza Kazmi, Mohd Furkan, Rehan Ali. 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
K. R. Kazmi, M. Furkan, R. Ali, Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings, Adv. Fixed Point Theory 9 (2019), 111–134. https://doi.org/10.28919/afpt/4028
BibTeX
@article{Kazmi2019,
author = {Kazmi, Kaleem Raza and Furkan, Mohd and Ali, Rehan},
title = {Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings},
journal = {Adv. Fixed Point Theory},
volume = {9},
year = {2019},
pages = {111--134},
doi = {10.28919/afpt/4028}
}