Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces
Abstract
This paper we deals with the approximation of fixed point for multi-valued nonexpansive mappings through a new iterative process which is independent and faster than the iterative processes discussed by Khan and Yildirim [7], Panyank [14], Sastry and Babu [15], Shahzad and Zegeye [18], Song and Wang [19], and Song and Cho [20], in uniformly convex Banach spaces. Thus, our results extend and improve the results which appears on multi-valued and single valued mappings in the contemporary literature.
Copyright © 2018 Yogesh Kumar Sahu, Rajlaxmi Gupta, B.L. Malager, Samir Dashputre. 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
Y. K. Sahu, R. Gupta, B. L. Malager, S. Dashputre, Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces, Adv. Fixed Point Theory 8 (2018), 131–143. https://doi.org/10.28919/afpt/3598
BibTeX
@article{Sahu2018,
author = {Sahu, Yogesh Kumar and Gupta, Rajlaxmi and Malager, B.L. and Dashputre, Samir},
title = {Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {131--143},
doi = {10.28919/afpt/3598}
}