Fixed Point Theory in Fuzzy Normed Linear Spaces: A General View

Author:

Dzitac Simona,Oros Horea,Deac Dan,Nădăban Sorin

Abstract

In this paper we have presented, firstly, an evolution of the concept of fuzzy normed linear spaces, different definitions, approaches as well as generalizations. A special section is dedicated to fuzzy Banach spaces. In the case of fuzzy normed linear spaces, researchers have been working, until now, with a definition of completeness inspired by M. Grabiec’s work in the context of fuzzy metric spaces. We propose another definition and we prove that it is much more adequate, inspired by the work of A.George and P. Veeramani. Finally, some important results in fuzzy fixed point theory were highlighted.

Publisher

Agora University of Oradea

Subject

Computational Theory and Mathematics,Computer Networks and Communications,Computer Science Applications

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