Partial Fuzzy Metric Space and Some Fixed Point Results

Shaban Sedghi; Nabi Shobkolaei; Ishak Altun

Communications in Mathematics (2015)

  • Volume: 23, Issue: 2, page 131-142
  • ISSN: 1804-1388

Abstract

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In this paper, we introduce the concept of partial fuzzy metric on a nonempty set X and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.

How to cite

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Sedghi, Shaban, Shobkolaei, Nabi, and Altun, Ishak. "Partial Fuzzy Metric Space and Some Fixed Point Results." Communications in Mathematics 23.2 (2015): 131-142. <http://eudml.org/doc/276174>.

@article{Sedghi2015,
abstract = {In this paper, we introduce the concept of partial fuzzy metric on a nonempty set $X$ and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.},
author = {Sedghi, Shaban, Shobkolaei, Nabi, Altun, Ishak},
journal = {Communications in Mathematics},
keywords = {Fixed point; Fuzzy metric space; Partial fuzzy metric space; fixed point; fuzzy metric space; partial fuzzy metric space},
language = {eng},
number = {2},
pages = {131-142},
publisher = {University of Ostrava},
title = {Partial Fuzzy Metric Space and Some Fixed Point Results},
url = {http://eudml.org/doc/276174},
volume = {23},
year = {2015},
}

TY - JOUR
AU - Sedghi, Shaban
AU - Shobkolaei, Nabi
AU - Altun, Ishak
TI - Partial Fuzzy Metric Space and Some Fixed Point Results
JO - Communications in Mathematics
PY - 2015
PB - University of Ostrava
VL - 23
IS - 2
SP - 131
EP - 142
AB - In this paper, we introduce the concept of partial fuzzy metric on a nonempty set $X$ and give the topological structure and some properties of partial fuzzy metric space. Then some fixed point results are provided.
LA - eng
KW - Fixed point; Fuzzy metric space; Partial fuzzy metric space; fixed point; fuzzy metric space; partial fuzzy metric space
UR - http://eudml.org/doc/276174
ER -

References

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  8. Mihet, D., 10.1016/j.fss.2006.11.012, Fuzzy Sets and Systems, 158, 2007, 915-921, (2007) Zbl1117.54008MR2302646DOI10.1016/j.fss.2006.11.012
  9. Mihet, D., 10.1016/j.fss.2007.07.006, Fuzzy Sets and Systems, 159, 2008, 739-744, (2008) Zbl1171.54330MR2410532DOI10.1016/j.fss.2007.07.006
  10. Mihet, D., Fuzzy quasi-metric versions of a theorem of Gregori and Sapena, Iranian Journal of Fuzzy Systems, 7, 2010, 59-64, (2010) Zbl1204.54035MR2656423
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