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Paper Information

Journal:   CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS   Spring-Summer 2018 , Volume 3 , Number 1 ; Page(s) 65 To 73.
 
Paper: 

Best Proximity Point Result For New Type Of Contractions In Metric Spaces With A Graph

 
 
Author(s):  Fallahi K.*
 
* Department of Mathematics, Payame Noor University, Tehran, Iran
 
Abstract: 
In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions. We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.
 
Keyword(s): Best proximity point,G,continuous mapping,G,φ,contraction
 
 
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APA: Copy

FALLAHI, K. (2018). Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, 3(1 ), 65-73. https://www.sid.ir/en/journal/ViewPaper.aspx?id=767563



Vancouver: Copy

FALLAHI K.. Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS. 2018 [cited 2022January19];3(1 ):65-73. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=767563



IEEE: Copy

FALLAHI, K., 2018. Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, [online] 3(1 ), pp.65-73. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=767563.



 
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