Skip to main content
Fixed Point Theory and Algorithms for Sciences and Engineering
Download PDF
  • Research Article
  • Open access
  • Published:

Best Proximity Pairs Theorems for Continuous Set-Valued Maps

Fixed Point Theory and Applications volume 2008, Article number: 607926 (2008) Cite this article

Abstract

A best proximity pair for a set-valued map with respect to a set-valued map is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran

    A. Amini-Harandi

  2. Department of Mathematics, Razi University, Kermanshah, 67149, Iran

    A. P. Farajzadeh

  3. Department of Mathematics, National University of Ireland, Galway, Ireland

    D. O'Regan

  4. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901, USA

    R. P. Agarwal

Authors
  1. A. Amini-Harandi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. Farajzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. O'Regan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. P. Agarwal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Amini-Harandi.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D. et al. Best Proximity Pairs Theorems for Continuous Set-Valued Maps. Fixed Point Theory Appl 2008, 607926 (2008). https://doi.org/10.1155/2008/607926

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/607926

Keywords