A common fixed point of generalized (ψ, ϕ)-weakly contractive maps where ϕ is nondecreasing (not necessarily continuous or lower semicontinuous)
Abstract
In this paper, we introduce generalized (ψ, ϕ) - weakly contractive condition for four selfmaps in which ψ is continuous and nondecreasing and ϕ is nondecreasing but not necessarily either continuous or lower semicontinuous, and we prove a common fixed point result for four selfmaps in a complete metric space. An example is given in support of the main result of the paper.
Copyright © 2012 K. P. R. Sastry, G. V. R. Babu, K. T. Kidane. 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. P. R. Sastry, G. V. R. Babu, K. T. Kidane, A common fixed point of generalized (ψ, ϕ)-weakly contractive maps where ϕ is nondecreasing (not necessarily continuous or lower semicontinuous), Adv. Fixed Point Theory 2 (2012), 203–223.
BibTeX
@article{Sastry2012,
author = {Sastry, K. P. R. and Babu, G. V. R. and Kidane, K. T.},
title = {A common fixed point of generalized (ψ, ϕ)-weakly contractive maps where ϕ is nondecreasing (not necessarily continuous or lower semicontinuous)},
journal = {Adv. Fixed Point Theory},
volume = {2},
year = {2012},
pages = {203--223},
doi = {}
}