@article{Sezen2026, 
author = {Müzeyyen Sangurlu Sezen and Mohammed Jasim Mohammed and Sina Etemad and Jessada Tariboon},
title = {On the multivalued        ρ          ∗      -interpolative contractions in fuzzy metric spaces with application to nonlinear matrix equations},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {2},
pages = {4263-4282},
keywords = {fuzzy metric space, interpolative contraction, ρ∗-admissible multivalued mapping, partially ordered fuzzy metric space},
url = {https://www.sciopen.com/article/10.3934/math.2026171},
doi = {10.3934/math.2026171},
abstract = {In this study, the subject of the multivalued        ρ          ∗      -interpolative Ćirić-Reich-Rus-type fuzzy contractions is introduced and investigated in which the    ϑ-comparison functions and the property of the        ρ          ∗      -admissibility play an important role. In the first step, the existence of fixed point theorems is proven for such a type of contractions in the context of the complete fuzzy metric spaces. Then, some of the results are extended in the framework of the fuzzy metric spaces equipped with a partial order. In this direction, we give some examples to clarify the obtained results and definitions. Additionally, we demonstrate an application about the solutions of non-linear matrix equations on the basis of fixed points of these new contractions.}
}