On Stability of $L$-Fuzzy Mappings with Related Fixed Point Results

Year:    2024

Author:    Mohammed Shehu Shagari, Musa Balarabe

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.1

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 1–18

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

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

Author Details

Mohammed Shehu Shagari

Musa Balarabe