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 - <p style="text-align: justify;">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.</p>