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

Archives › Volume 6, Number 2 (2016)

Adv. Fixed Point Theory 6 (2016), 224–240

Some common fixed point results for commuting k-set-contraction mappings and their applications

Nour El Houda Bouzara, Vatan Karakaya

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Abstract

The purpose of this paper is to prove new common fixed point theorems for commuting mappings. We also deduce new classes of k-set contraction mappings and guarantee the existence of their fixed points. As applications, we establish an integral version of these results. Finally, we also introduce and study the resolvability of a new type of integral equations.

Published
23 April 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Nour El Houda Bouzara, Vatan Karakaya. 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

N. E. H. Bouzara, V. Karakaya, Some common fixed point results for commuting k-set-contraction mappings and their applications, Adv. Fixed Point Theory 6 (2016), 224–240.

BibTeX
@article{Bouzara2016,
  author  = {Bouzara, Nour El Houda and Karakaya, Vatan},
  title   = {Some common fixed point results for commuting k-set-contraction mappings and their applications},
  journal = {Adv. Fixed Point Theory},
  volume  = {6},
  year    = {2016},
  pages   = {224--240},
  doi     = {}
}