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Open AccessFeature PaperArticle

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.
Symmetry 2018, 10(7), 240; https://doi.org/10.3390/sym10070240
Received: 4 June 2018 / Revised: 19 June 2018 / Accepted: 19 June 2018 / Published: 25 June 2018
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)
MDPI and ACS Style

Şahin, M.; Kargın, A.; Çoban, M.A. Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space. Symmetry 2018, 10, 240.

AMA Style

Şahin M, Kargın A, Çoban MA. Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space. Symmetry. 2018; 10(7):240.

Chicago/Turabian Style

Şahin, Memet; Kargın, Abdullah; Çoban, Mehmet A. 2018. "Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space" Symmetry 10, no. 7: 240.

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