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

Archives › Volume 6, Number 4 (2016)

Adv. Fixed Point Theory 6 (2016), 456–468

Complex valued b-metric spaces and fixed point theorems

Divya Bharadwaj, Naval Singh, Om Prakash Chauhan

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Abstract

In this note we establish some results on common fixed point for a pair of mappings satisfying more general contraction conditions represented by rational expressions having point dependent control functions as coefficients in complex valued b-metric spaces. The proved results generalize and extend the results of, Azam et al. [1], Bhatt et al. [3] and Mukheimer [8].

Published
2 October 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Divya Bharadwaj, Naval Singh, Om Prakash Chauhan. 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

D. Bharadwaj, N. Singh, O. P. Chauhan, Complex valued b-metric spaces and fixed point theorems, Adv. Fixed Point Theory 6 (2016), 456–468.

BibTeX
@article{Bharadwaj2016,
  author  = {Bharadwaj, Divya and Singh, Naval and Chauhan, Om Prakash},
  title   = {Complex valued b-metric spaces and fixed point theorems},
  journal = {Adv. Fixed Point Theory},
  volume  = {6},
  year    = {2016},
  pages   = {456--468},
  doi     = {}
}