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Volume 6, Issue 1
On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results

Mohammed Shehu Shagari & Musa Balarabe

DOI: 10.12150/jnma.2024.1

J. Nonl. Mod. Anal., 6 (2024), pp. 1-18.

Published online: 2024-03

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

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  • Abstract

In this paper, a general idea of Presic type $L$-fuzzy fixed point results using some weakly contractive conditions in the setting of metric space is initiated. Stability of $L$-fuzzy mappings and associated new concepts are proposed herein to complement their corresponding notions related to crisp multi-valued and single-valued mappings. Illustrative nontrivial examples are provided to support the assertions of our main results.

  • Keywords

$L$-fuzzy set, $L$-fuzzy fixed point, metric space, multi-valued mapping, stability.

  • AMS Subject Headings

46S40, 47H10, 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-1, author = {Shagari , Mohammed Shehu and Balarabe , Musa}, title = {On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {1}, pages = {1--18}, abstract = {

In this paper, a general idea of Presic type $L$-fuzzy fixed point results using some weakly contractive conditions in the setting of metric space is initiated. Stability of $L$-fuzzy mappings and associated new concepts are proposed herein to complement their corresponding notions related to crisp multi-valued and single-valued mappings. Illustrative nontrivial examples are provided to support the assertions of our main results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1}, url = {http://global-sci.org/intro/article_detail/jnma/22963.html} }
TY - JOUR T1 - On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results AU - Shagari , Mohammed Shehu AU - Balarabe , Musa JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 1 EP - 18 PY - 2024 DA - 2024/03 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1 UR - https://global-sci.org/intro/article_detail/jnma/22963.html KW - $L$-fuzzy set, $L$-fuzzy fixed point, metric space, multi-valued mapping, stability. AB -

In this paper, a general idea of Presic type $L$-fuzzy fixed point results using some weakly contractive conditions in the setting of metric space is initiated. Stability of $L$-fuzzy mappings and associated new concepts are proposed herein to complement their corresponding notions related to crisp multi-valued and single-valued mappings. Illustrative nontrivial examples are provided to support the assertions of our main results.

Mohammed Shehu Shagari & Musa Balarabe. (2024). On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results. Journal of Nonlinear Modeling and Analysis. 6 (1). 1-18. doi:10.12150/jnma.2024.1
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