Fuzzy estimates for Cairic's fixed point theorems

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Journal Paper

Paper Information

Journal: Journal of Advanced Mathematical Modeling Year:2023 | Volume:13 | Issue:2 Page(s): 188-202

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Information Journal Paper

Title

Fuzzy estimates for Cairic's fixed point theorems

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Keywords

Fuzzy norm spaces

Fuzzy fixed points

Ćirić '

s fixed points

Abstract

In this paper, we investigate the estimation of fixed point errors for two important fixed point theorems of quasi-contractive mappings in fuzzy norm spaces. For this purpose, we define 􀀀generalized contraction and ("; )􀀀uniformly generalized contraction functions on fuzzy metric spaces and show that these definition are generalization of contractive functions defined by Ćirić on classical metric space. Also, when Picard’s iteration is used to approximate fixed points in fuzzy norm spaces, we obtain complete expressions for Ćirić’s fixed point theorems, including estimates of the fuzzy error.

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