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Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces

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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.

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Authors and Affiliations

  1. Mathematics Department, Imam Khomeini International University, Qazvin, 34149, Iran

    A. Abkar & M. Gabeleh

Authors
  1. A. Abkar
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  2. M. Gabeleh
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Correspondence to M. Gabeleh.

Additional information

Communicated by B. Mordukhovich.

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Abkar, A., Gabeleh, M. Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces. J Optim Theory Appl 150, 188–193 (2011). https://doi.org/10.1007/s10957-011-9810-x

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  • DOI: https://doi.org/10.1007/s10957-011-9810-x

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