Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces

Chirasak Mongkolkeha () and Poom Kumam ()
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Chirasak Mongkolkeha: King Mongkut’s University of Technology Thonburi
Poom Kumam: King Mongkut’s University of Technology Thonburi

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 1, No 11, 215-226

Abstract: Abstract In this paper, we generalized a cyclic contraction on a partially ordered complete metric space. We prove some fixed point theorems as well as some theorems on the existence of best proximity points. Our results improve and extend some recent results in the previous work.

Keywords: Fixed point; Best proximity point; Property UC; Generalized cyclic contraction (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-9991-y

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