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Adv. Inequal. Appl. 2019 (2019), Article ID 11

Coincidence points and common fixed points for three mappings with integral type implicit contraction conditions on ordered metric spaces

Yongjie Piao

Abstract

In this paper, by using the known class Ψ∗ of 5-dimensional functions determined by the known classes {C ,Φu}, we discuss the existence problems of coincidence points for three mappings of integral type with semiimplicit contraction conditions and obtain a common fixed point theorem for two mappings on ordered metric spaces. Finally, we give a sufficient condition under which there exists a unique common fixed point.

Published
12 June 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Yongjie Piao. 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

Y. Piao, Coincidence points and common fixed points for three mappings with integral type implicit contraction conditions on ordered metric spaces, Adv. Inequal. Appl. 2019 (2019), 11. https://doi.org/10.28919/aia/4060

BibTeX
@article{Piao2019,
  author  = {Piao, Yongjie},
  title   = {Coincidence points and common fixed points for three mappings with integral type implicit contraction conditions on ordered metric spaces},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {11},
  doi     = {10.28919/aia/4060}
}