Random coupled and tripled best proximity results with cyclic contraction in metric spaces

Volume 9, Issue 3, pp 940--956 http://dx.doi.org/10.22436/jnsa.009.03.23

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Authors

Farhana Akbar - Department of Mathematics, GDCW, Bosan Road, Multan, Pakistan. Marwan Amin Kutbi - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Masood Hussain Shah - Department of Mathematics, SBSSE, Lahore University of Management Sciences, 54792 Lahore, Pakistan. Naeem Shafqat - Centre for Advanced Studies in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan.

Abstract

We consider random best proximity point and cyclic contraction pair problems in uniformly convex Banach spaces. We also prove some tripled best proximity and tripled fixed point theorems in complete metric spaces. Our results present random version of [W. Sintunavarat, P. Kumam, Fixed point Theory Appl., 2012 (2012), 16 pages] and many others.

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Keywords

• Partially ordered set
• coupled best proximity point
• tripled best proximity point
• random best proximity point.

MSC

•  47H10
•  54H25

References

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