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

Archives › Volume 7, Number 3 (2017)

Adv. Fixed Point Theory 7 (2017), 359–371

On common fixed point of a function and its derivative

Mohamad Muslikh, Adem Kilicman

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Abstract

In this article, we present a common fixed point of a function with its derivative function. The existence of common fixed point is shown through a pair of commutative, weakly commutative, and compatible mapping. This result is relatively new for the pair raised was between functions with their derivatives.

Published
25 June 2017
Volume
7 (2017)
License
CC BY 3.0

Copyright © 2017 Mohamad Muslikh, Adem Kilicman. 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

M. Muslikh, A. Kilicman, On common fixed point of a function and its derivative, Adv. Fixed Point Theory 7 (2017), 359–371.

BibTeX
@article{Muslikh2017,
  author  = {Muslikh, Mohamad and Kilicman, Adem},
  title   = {On common fixed point of a function and its derivative},
  journal = {Adv. Fixed Point Theory},
  volume  = {7},
  year    = {2017},
  pages   = {359--371},
  doi     = {}
}