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Volume 7, Issue 3
A Fixed Point Results for Multivalued Mappings in Hausdorff Fuzzy $b$−Metric Spaces and Applications

Noreddine Makran

DOI: 10.12150/jnma.2025.925

J. Nonl. Mod. Anal., 7 (2025), pp. 925-937.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we are interested in proving a general fixed point theorem for multivalued mappings in fuzzy $b$−metric spaces. The results presented in this paper not only generalize the findings from [23], but also yield additional specific outcomes. We present an application to establish the existence of a solution to the integral equation, demonstrating the significance of our result.

  • Keywords

Fuzyy metric space, fuzzy $b$−metric space, t-norm, fixed point, implicit relation.

  • AMS Subject Headings

Primary 47H10, Secondary 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-925, author = {Makran , Noreddine}, title = {A Fixed Point Results for Multivalued Mappings in Hausdorff Fuzzy $b$−Metric Spaces and Applications}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {925--937}, abstract = {

In this paper, we are interested in proving a general fixed point theorem for multivalued mappings in fuzzy $b$−metric spaces. The results presented in this paper not only generalize the findings from [23], but also yield additional specific outcomes. We present an application to establish the existence of a solution to the integral equation, demonstrating the significance of our result.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.925}, url = {http://global-sci.org/intro/article_detail/jnma/24109.html} }
TY - JOUR T1 - A Fixed Point Results for Multivalued Mappings in Hausdorff Fuzzy $b$−Metric Spaces and Applications AU - Makran , Noreddine JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 925 EP - 937 PY - 2025 DA - 2025/05 SN - 7 DO - http://doi.org/10.12150/jnma.2025.925 UR - https://global-sci.org/intro/article_detail/jnma/24109.html KW - Fuzyy metric space, fuzzy $b$−metric space, t-norm, fixed point, implicit relation. AB -

In this paper, we are interested in proving a general fixed point theorem for multivalued mappings in fuzzy $b$−metric spaces. The results presented in this paper not only generalize the findings from [23], but also yield additional specific outcomes. We present an application to establish the existence of a solution to the integral equation, demonstrating the significance of our result.

Makran , Noreddine. (2025). A Fixed Point Results for Multivalued Mappings in Hausdorff Fuzzy $b$−Metric Spaces and Applications. Journal of Nonlinear Modeling and Analysis. 7 (3). 925-937. doi:10.12150/jnma.2025.925
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