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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2015 (2015), Article ID 3

A common fixed point theorem for six weakly compatible mappings in complete metric space using rational inequality

Arvind Kumar Sharma, V. H. Badshah, V. K. Gupta

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Abstract

The purpose of this paper is to present a common unique fixed-point theorem for six self mappings in complete metric space using weaker condition such as weakly compatible and associated sequence in place of compatible mappings and completeness of the metric space. More over the condition of continuity of any one of mapping is being dropped. Our result generalizes the results of Singh and Chouhan [19], Fisher [4], Lohani and Badshah [13], Sharma, Badshah and Gupta [18].

Published
2 March 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Arvind Kumar Sharma, V. H. Badshah, V. K. Gupta. 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

A. K. Sharma, V. H. Badshah, V. K. Gupta, A common fixed point theorem for six weakly compatible mappings in complete metric space using rational inequality, Adv. Inequal. Appl. 2015 (2015), 3.

BibTeX
@article{Sharma2015,
  author  = {Sharma, Arvind Kumar and Badshah, V. H. and Gupta, V. K.},
  title   = {A common fixed point theorem for six weakly compatible mappings in complete metric space using rational inequality},
  journal = {Adv. Inequal. Appl.},
  volume  = {2015},
  year    = {2015},
  pages   = {3},
  doi     = {}
}