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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY

Akbar AZAM
Pages
421–431
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.

📌 3 Key Takeaways

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Objective & Hypothesis:We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.
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Key Findings & Data:We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.
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Conclusion & Impact:We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · Common fixed point · Contractive type mapping

Abstract

We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.

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Cite This Article

AZAM, A. (2022). FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 421–431. https://ajindex.com/articles/530620

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