Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces

A. Abkar () and M. Gabeleh ()
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A. Abkar: Imam Khomeini International University
M. Gabeleh: Imam Khomeini International University

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 1, No 12, 188-193

Abstract: Abstract In this paper we consider a cyclic mapping on a partially ordered complete metric space. We prove some fixed point theorems, as well as some theorems on the existence and convergence of best proximity points.

Keywords: Fixed point; Best proximity point; Cyclic contraction mapping; Property UC (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-011-9810-x

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