Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.3, Jun. 2015, Pub. Date: May 16, 2015
Fixed Point Theorems in Fuzzy Normed Spaces for Weak Contractive Mappings
Pages: 111-115 Views: 4306 Downloads: 1333
Authors
[01]
S. A. M. Mohsenialhosseini, Faculty of Mathematics, Vali-e-Asr University, Rafsanjan, Iran.
Abstract
We define fixed point for the class of weak contractive type mappings in fuzzy normed spaces. We obtain several convergence theorems for fixed points by means of Picard iteration on fuzzy normed spaces. These extend the corresponding results in literature by providing error estimates, rate of convergence for the used iterative method as well as results concerning the data dependence of the fixed points on fuzzy norm spaces.
Keywords
Fuzzy Normed Space, Fuzzy Fixed Point, Weak Contraction, Convergence Theorem
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