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

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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.

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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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Corresponding author

Correspondence to Poom Kumam.

Additional information

Communicated by Boris Mordukhovich.

Mr. Chirasak Mongkolkeha was supported by the Thailand Research Fund through the Royal Golden Jubilee Ph.D. Program (Grant No. PHD/0029/2553). The second author was supported by the Commission on Higher Education, the Thailand Research Fund and the King Mongkut’s University of Technology Thonburi (Grant No. MRG5380044). The authors are grateful to the referees for their valuable comments and suggestions.

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Mongkolkeha, C., Kumam, P. Best Proximity Point Theorems for Generalized Cyclic Contractions in Ordered Metric Spaces. J Optim Theory Appl 155, 215–226 (2012). https://doi.org/10.1007/s10957-012-9991-y

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  • DOI: https://doi.org/10.1007/s10957-012-9991-y

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