Preprint Article Version 1 This version is not peer-reviewed

On p-common Best Proximity Point Results for S-weakly Contraction in Complete Metric Spaces

Version 1 : Received: 8 September 2018 / Approved: 11 September 2018 / Online: 11 September 2018 (12:26:16 CEST)

A peer-reviewed article of this Preprint also exists.

Kongban, C.; Kumam, P.; Komal, S.; Sitthithakerngkiet, K. On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces. Mathematics 2018, 6, 241. Kongban, C.; Kumam, P.; Komal, S.; Sitthithakerngkiet, K. On p-Common Best Proximity Point Results for S-Weakly Contraction in Complete Metric Spaces. Mathematics 2018, 6, 241.

Journal reference: Mathematics 2018, 6, 241
DOI: 10.3390/math6110241

Abstract

In this paper, we introduced many new notions and new contraction named as S-weakly contraction after that we obtained the p-common best proximity point theorems for different types of contractions in the setting of complete metric spaces by using weak Pp-property and proved the uniqueness of these points. Also we presented some examples to prove the validity of our results.

Subject Areas

P-common best proximity point, weak Pp-property, S-weakly contraction.

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