Some fixed point theorems for \(\varphi\)-contractive mappings in fuzzy normed linear spaces
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Authors
Sorin Nădăban
- Department of Mathematics and Computer Science, Aurel Vlaicu University of Arad, Elena Dragoi 2, RO-310330, Arad, Romania.
Tudor Bînzar
- Department of Mathematics, Politehnica University of Timisoara, Regina Maria 1, RO-300004, Timisoara, Romania.
Flavius Pater
- Department of Mathematics, Politehnica University of Timisoara, Regina Maria 1, RO-300004, Timisoara, Romania.
Abstract
In this paper a new concept of comparison function is introduced and discussed and some fixed point theorems are established for \(\varphi\)-contractive mappings in fuzzy normed linear spaces. In this way we obtain fuzzy versions of some classical fixed point theorems such as Nemytzki-Edelstein's theorem and Maia's theorem.
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ISRP Style
Sorin Nădăban, Tudor Bînzar, Flavius Pater, Some fixed point theorems for \(\varphi\)-contractive mappings in fuzzy normed linear spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5668--5676
AMA Style
Nădăban Sorin, Bînzar Tudor, Pater Flavius, Some fixed point theorems for \(\varphi\)-contractive mappings in fuzzy normed linear spaces. J. Nonlinear Sci. Appl. (2017); 10(11):5668--5676
Chicago/Turabian Style
Nădăban, Sorin, Bînzar, Tudor, Pater, Flavius. "Some fixed point theorems for \(\varphi\)-contractive mappings in fuzzy normed linear spaces." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5668--5676
Keywords
- Fuzzy normed linear spaces
- \(\varphi\)-contractive mappings
- fixed point theorems
MSC
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