# Some fixed point theorems for $\varphi$-contractive mappings in fuzzy normed linear spaces

Volume 10, Issue 11, pp 5668--5676 Publication Date: November 10, 2017       Article History
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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.

### Keywords

• Fuzzy normed linear spaces
• $\varphi$-contractive mappings
• fixed point theorems

•  46S40

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