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

Archives › Volume 5, Number 2 (2015)

Adv. Fixed Point Theory 5 (2015), 168–191

Tripled best proximity point theorems in partially ordered metric spaces

Jamnian Nantadilok, Somkiat Chaipornjareansri

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Abstract

In this paper, we establish tripled best proximity point theorems for a mixed monotone mapping satisfying the proximally tripled weak (ψ,φ) contraction in a partially ordered metric space. Presented theorems extend and improve many existing results in the literature.

Published
19 April 2015
Volume
5 (2015)
License
CC BY 3.0

Copyright © 2015 Jamnian Nantadilok, Somkiat Chaipornjareansri. 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

J. Nantadilok, S. Chaipornjareansri, Tripled best proximity point theorems in partially ordered metric spaces, Adv. Fixed Point Theory 5 (2015), 168–191.

BibTeX
@article{Nantadilok2015,
  author  = {Nantadilok, Jamnian and Chaipornjareansri, Somkiat},
  title   = {Tripled best proximity point theorems in partially ordered metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {5},
  year    = {2015},
  pages   = {168--191},
  doi     = {}
}