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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 3, Number 1 (2013)

Adv. Fixed Point Theory 3 (2013), 29–48

Common fixed points for some variants of weakly contraction mappings in partially ordered metric spaces

Bapurao C. Dhage, Hemant K. Nashine, Vilas S. Patil

Abstract

In this paper we introduce two new variants of weakly contraction mappings for two and three maps in metric spaces and derive a couple of common fixed point theorems for T-strictly weakly isotone increasing mappings and relatively weakly increasing mapping in partially ordered complete metric spaces. Our results are illustrated by giving some examples.

Published
18 March 2013
Volume
3 (2013)
License
CC BY 3.0

Copyright © 2013 Bapurao C. Dhage, Hemant K. Nashine, Vilas S. Patil. 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

B. C. Dhage, H. K. Nashine, V. S. Patil, Common fixed points for some variants of weakly contraction mappings in partially ordered metric spaces, Adv. Fixed Point Theory 3 (2013), 29–48.

BibTeX
@article{Dhage2013,
  author  = {Dhage, Bapurao C. and Nashine, Hemant K. and Patil, Vilas S.},
  title   = {Common fixed points for some variants of weakly contraction mappings in partially ordered metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {3},
  year    = {2013},
  pages   = {29--48},
  doi     = {}
}