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Symmetry 2018, 10(7), 240; https://doi.org/10.3390/sym10070240

Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space

1
Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
2
Department of Computer Programming, Gaziantep University, Gaziantep 27310, Turkey
*
Author to whom correspondence should be addressed.
Received: 4 June 2018 / Revised: 19 June 2018 / Accepted: 19 June 2018 / Published: 25 June 2018
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Abstract

Neutrosphic triplet is a new theory in neutrosophy. In a neutrosophic triplet set, there is a neutral element and antielement for each element. In this study, the concept of neutrosophic triplet partial metric space (NTPMS) is given and the properties of NTPMS are studied. We show that both classical metric and neutrosophic triplet metric (NTM) are different from NTPM. Also, we show that NTPMS can be defined with each NTMS. Furthermore, we define a contraction for NTPMS and we give a fixed point theory (FPT) for NTPMS. The FPT has been revealed as a very powerful tool in the study of nonlinear phenomena. This study is also part of the “Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets” which is a special issue. View Full-Text
Keywords: neutrosophic triplet set (NTS); partial metric spaces (PMS); fixed point theory (FPT) neutrosophic triplet set (NTS); partial metric spaces (PMS); fixed point theory (FPT)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Şahin, M.; Kargın, A.; Çoban, M.A. Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space. Symmetry 2018, 10, 240.

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