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Best proximity points for generalized proximal weak contractions in partially ordered metric spaces

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Abstract

In this paper, we prove the existence and uniqueness of best proximity point for mappings satisfying generalized proximal weak contraction in a complete ordered metric spaces. Further, our result provides an extension of a result due to Stojan Radenović and Zoran Kadelburg to the case of non-self-mappings.

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Acknowledgments

The authors are grateful for the reviewers for the careful reading of the paper and for the suggestions which improved the quality of this work. The first author is supported by the Council of Scientific and Industrial Research, Government of India (F. No. 09/475(0187)/2012-EMR-I). The second author is supported by the University Grants Commission, Government of India in the form of a Major Research Project (F. No. 41-802/2012(SR)).

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  1. Department of Mathematics, Bharathidasan University, Tiruchirappalli, 620 024, Tamil Nadu, India

    V. Pragadeeswarar & M. Marudai

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  1. V. Pragadeeswarar
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  2. M. Marudai
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Correspondence to V. Pragadeeswarar.

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Pragadeeswarar, V., Marudai, M. Best proximity points for generalized proximal weak contractions in partially ordered metric spaces. Optim Lett 9, 105–118 (2015). https://doi.org/10.1007/s11590-013-0709-3

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