Ebru AYDOĞDU, Abdülkadir AYGÜNOĞLU, Halis AYGÜN

Bulanık Metrik Uzayları Arasında Sürekli Fonksiyon Uzayları

Bu çalışmada bulanık metrik uzaylar arasındaki sürekli fonksiyon uzaylarında bir bulanık metrik elde edilmiştir. Daha sonra bu fonksiyon uzaylarında tamlık, principal olma ve kompaktlık gibi özellikler incelenmiştir.

Anahtar Kelimeler:

Sürekli fonksiyon uzayları, Bulanık metrik uzay, Matematik

The Space of Continuous Function Between Fuzzy Metric Spaces

In this study, we obtain a fuzzy metric on continuous function space between fuzzy metric space. Then several properties of this function spaces such as completeness, being principal and compactness were investigated.

Keywords:

Continuous function spaces, fuzzy metric spaces, Mathematics,

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George, A., Veeramani, P. 1995. "Some theorems in fuzzy metric spaces", Journal of Fuzzy Mathematics, 3, 933-940.
George, A., Veeramani, P. 1994 “On some results in fuzzy metric spaces”, Fuzzy Sets and Systems, 64, 395-399.
George, A., Veeramani, P. 1997 "On some results of analysis for fuzzy metric spaces", Fuzzy sets and systems, 90(3), 365-368.
Gregori, V., Lopez-Crevillen, A., Morillas, S., Sapena, A. 2009 “On convergence in fuzzy metric spaces”, Topology and its Applications, 156, 3002-3006.
Gregori, V., Minana, J.J. "Some concepts related to continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2013.
Gregori, V., Morillas S., López-Crevillén A. "On continuity and uniform continuity in fuzzy metric spaces", Workshop in Applied Topology WiAT, Spain, 2009.
Gregori, V., Romaguera. S. 2000 "Some properties of fuzzy metric spaces", Fuzzy sets and systems, 115(3), 485-489.
Gregori, V., Romaguera, S., Sapena, A. 2004 “On t-uniformly continuous mappings in fuzzy metric spaces”, The Journal of Fuzzy Mathematics, 12(1), 237–243.
Gregori, V., Sapena. A. “On fixed-point theorems in fuzzy metric spaces”, Fuzzy Sets and Systems, 125, 245–252.
Künzi, H.P.A. (2001) “Nonsymmetric distances and their associated topologies: About the origins of basic ideas in the area of asymmetric topology”, Springer, Handbook of the History of General Topology, 853-968.
Kramosil, I., Michalek, J. (1975) “Fuzzy metric and statistical metric spaces”, Kybernetika, 11, 326-334.
Mihet, D. (2007) “On fuzzy contractive mappings in fuzzy metric spaces”, Fuzzy Sets and Systems,158, 915-921.
Zadeh, L.A. (1965) “Fuzzy sets”, Information and control, 3, 338-353.