Abstract
Abstract The object of this paper is to utilize the notion of β-admissible in the sense of Mohammadi et al. (Fixed Point Theory Appl. 2013:24, 2013) to prove a fuzzy fixed point theorem and present some corollaries. We also give illustrative examples which demonstrate the validity of hypotheses of our results and applications to fuzzy fixed points for fuzzy mappings in partially ordered metric spaces are studied.
Highlights
In real world problems, fuzzy concepts were used to modeled mathematically for the purpose of automation, like regulation, production control and many others
In 2001, Estruch and Vidal [4] proved a fuzzy fixed point theorem for fuzzy contraction mappings over a complete metric space
Abbas and Turkoglu [10] established the existence of a fuzzy fixed point theorem for fuzzy mapping of a generalized contractive mapping on a complete metric space, which generalized and extended the results in [4] and many known results in [2,6]
Summary
Fuzzy concepts were used to modeled mathematically for the purpose of automation, like regulation, production control and many others.
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