Articles

BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS

  • Moosa GABELEH
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  • Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

Received date: 2012-07-26

  Revised date: 2014-05-10

  Online published: 2014-09-20

Abstract

We study the existence of best proximity points for single-valued non-self map-pings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results.

Cite this article

Moosa GABELEH . BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS[J]. Acta mathematica scientia, Series B, 2014 , 34(5) : 1661 -1669 . DOI: 10.1016/S0252-9602(14)60112-0

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Outlines

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