Some fixed point theorems for \(\varphi\)-contractive mappings in fuzzy normed linear spaces

Volume 10, Issue 11, pp 5668--5676

Publication Date: 2017-11-10

http://dx.doi.org/10.22436/jnsa.010.11.05

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

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