# Urysohn’s lemma, gluing lemma and contraction${}^{*}$ mapping theorem for fuzzy metric spaces

Elango Roja; Mallasamudram Kuppusamy Uma; Ganesan Balasubramanian

Mathematica Bohemica (2008)

- Volume: 133, Issue: 2, page 179-185
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topRoja, Elango, Uma, Mallasamudram Kuppusamy, and Balasubramanian, Ganesan. "Urysohn’s lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces." Mathematica Bohemica 133.2 (2008): 179-185. <http://eudml.org/doc/250517>.

@article{Roja2008,

abstract = {In this paper the concept of a fuzzy contraction$^*$ mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction$^*$ mapping on a complete fuzzy metric space has a unique fixed point.},

author = {Roja, Elango, Uma, Mallasamudram Kuppusamy, Balasubramanian, Ganesan},

journal = {Mathematica Bohemica},

keywords = {fuzzy contraction mapping; fuzzy continuous mapping; fuzzy contraction mapping; fuzzy continuous mapping; fixed point},

language = {eng},

number = {2},

pages = {179-185},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Urysohn’s lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces},

url = {http://eudml.org/doc/250517},

volume = {133},

year = {2008},

}

TY - JOUR

AU - Roja, Elango

AU - Uma, Mallasamudram Kuppusamy

AU - Balasubramanian, Ganesan

TI - Urysohn’s lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces

JO - Mathematica Bohemica

PY - 2008

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 133

IS - 2

SP - 179

EP - 185

AB - In this paper the concept of a fuzzy contraction$^*$ mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction$^*$ mapping on a complete fuzzy metric space has a unique fixed point.

LA - eng

KW - fuzzy contraction mapping; fuzzy continuous mapping; fuzzy contraction mapping; fuzzy continuous mapping; fixed point

UR - http://eudml.org/doc/250517

ER -

## References

top- Metric spaces in fuzzy set theory, J. Math. Anal. Appl. 69 (1979), 205–230. (1979) Zbl0409.54007MR0535292
- On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64 (1994), 395–399. (1994) MR1289545
- Some theorems in fuzzy metric spaces, J. Fuzzy Math. 3 (1995), 933–940. (1995) MR1367026
- On some results of analysis for fuzzy metric spaces, Fuzzy Sets Syst. 90 (1997), 365–368. (1997) MR1477836
- On fuzzy metric spaces, Fuzzy Sets Syst. 12 (1984), 215–229. (1984) MR0740095
- Fuzzy contraction mapping theorem for fuzzy metric spaces, Bull. Calcutta Math. Soc. 94 (2002), 453–458. (2002) MR1947762
- Fuzzy sets, Inform and Control 8 (1965), 338–353. (1965) Zbl0139.24606MR0219427
- Fuzzy pseudo metric spaces, J. Math. Anal. Appl. 86 (1982), 74–95. (1982)

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.