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Generalized 2-proximal C-contraction mappings in complete ordered 2-metric space and their best proximity points
aQuchan University of Technology, Quchan, Iran
bShahrood University of Technology, Shahrood, Iran
cVellore Institute of Technology (VIT) University, School of Advanced Sciences, Vellore, India
dIndira Gandhi National Tribal University, Amarkantak, Madhya Pradesh, India
Keywords: 2-proximal C-contraction mapping; best proximity point; 2-metric space
Abstract
In this paper, we extend the concept of best proximity point to 2-metric spaces and prove the existence of such points for contraction type non-self mappings in the setting of complete 2-metric spaces. Also, we presented an example to support our results.
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article language: English
document type: unclassified
DOI: 10.5937/SPSUNP2001001S
received: 29/11/2019
accepted: 03/03/2020
published in SCIndeks: 26/02/2021

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