Title of article :
Fixed point theorems in ordered non-Archimedean fuzzy metric spaces
Author/Authors :
Farokhzad Rostami ، Razieh Department of Mathematics - Faculty of Basic Sciences and Engineering - Gonbad Kavous University
Abstract :
In this paper, we extend very recent fixed point theorems in the setting of ordered non-Archimedean fuzzy metric spaces. We present some fixed point theorems for self-mappings satisfying generalized (ϕ, ψ)-contraction conditions in partially ordered complete non-Archimedean fuzzy metric spaces. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition and we extend recently fixed point theorems for complete ordered non-Archimedean fuzzy metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper.
Keywords :
Ordered fuzzy metric space , Coincidence and Common fixed point , Compatible and Weakly compatible functions , weakly increasing
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications