Best proximity results for Suzuki and convex type contractions

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Abstract

The aim of the paper is to introduce new Suzuki and convex type contractions and prove new best proximity results for these contractions in the setting of a metric space. As applications, we deduce similar results for such type of contractions in partially ordered metric spaces and derive new Suzuki type fixed point results. An illustrative example is provided here to highlight our findings.

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Hussain, N., Hezarjaribi, M., Kutbi, M. A., & Salimi, P. (2016). Best proximity results for Suzuki and convex type contractions. Fixed Point Theory and Applications, 2016(1), 1–20. https://doi.org/10.1186/s13663-016-0499-2

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