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Gupta, Vishal; Saini, R. K.; Verma, Manu

Fixed point theorems for single valued \(\alpha\)-\(\psi\)-mappings in fuzzy metric spaces. (English) Zbl 1487.54063

Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 392-400 (2019).
Summary: This article is the forward result of \(\alpha\)-admissible and \(( \alpha,\psi)\)-contractive mappings in fuzzy metric spaces. We establish new theorem for such contractions to find fixed point in fuzzy metric space. Our Theorem is generalizations of some interesting outputs in metric spaces. Moreover, an example and application to ordinary differential equations are also elaborated to verify the result of the theorem.

Cited in 2 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54A40 Fuzzy topology
54E35 Metric spaces, metrizability

Keywords:

fixed points; \(( \alpha,\psi)\)-weak contraction condition; altering distance functon; fuzzy metric spaces
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References:

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