A common fixed point of generalized (ψ, ϕ)-weakly contractive maps where ϕ is nondecreasing (not necessarily continuous or lower semicontinuous)

K. P. R. Sastry, G. V. R. Babu, K. T. Kidane

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.

Full Text: PDF

How to 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), Advances in Fixed Point Theory, Vol 2, No 2 (2012), 203-223

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.

Advances in Fixed Point Theory

ISSN: 1927-6303

Editorial Office: office@scik.org

Copyright ©2018 SCIK Publishing Corporation. All rights reserved.