Some general convergence theorems on sequences of fixed points
Abstract
For each n ∈ N(naturals), let {Xn} be a sequence of nonempty subsets of a 2-metric space (X,ρ) and {Tn: Xn→ Xn} a sequence of (ψ,φ)-weakly contractive mappings with respect to a different 2-metric ρnwhich converges in some general sense to a limit mapping. We obtain a number of stability results in this paper which extend certain well known results.
Copyright © 2013 S. N. Mishra, Rajendra Pant, R. Panicker. 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
S. N. Mishra, R. Pant, R. Panicker, Some general convergence theorems on sequences of fixed points, Adv. Fixed Point Theory 3 (2013), 341–354.
BibTeX
@article{Mishra2013,
author = {Mishra, S. N. and Pant, Rajendra and Panicker, R.},
title = {Some general convergence theorems on sequences of fixed points},
journal = {Adv. Fixed Point Theory},
volume = {3},
year = {2013},
pages = {341--354},
doi = {}
}