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Some common best proximity points for proximity commuting mappings

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Abstract

In this paper, we prove new common best proximity point theorems for a proximity commuting mapping in a complete metric space. Our results generalized a recent result of Sadiq Basha [Common best proximity points: global minimization of multi-objective functions, J. Glob. Optim., (2011)] and some results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangmod, Thrungkru, Bangkok, 10140, Thailand

    Chirasak Mongkolkeha & Poom Kumam

Authors
  1. Chirasak Mongkolkeha
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  2. Poom Kumam
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Correspondence to Poom Kumam.

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Mongkolkeha, C., Kumam, P. Some common best proximity points for proximity commuting mappings. Optim Lett 7, 1825–1836 (2013). https://doi.org/10.1007/s11590-012-0525-1

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