Tariq, MuhammadAmeer, EskandarAli, AmjadHammad, Hasanen A.Jarad, FahdMatematik2023-11-242023-11-242023Tariq, Muhammad;...et.al. (2023). "Applying fixed point techniques for obtaining a positive definite solution to nonlinear matrix equations", AIMS Mathematics, Vol.8, No.2, pp.3842-3859.2473-6988https://doi.org/10.3934/math.2023191Hammad, Hasanen A./0000-0001-8724-9367In this manuscript, the concept of rational-type multivalued F-contraction mappings is investigated. In addition, some nice fixed point results are obtained using this concept in the setting of MM-spaces and ordered MM-spaces. Our findings extend, unify, and generalize a large body of work along the same lines. Moreover, to support and strengthen our results, non-trivial and extensive examples are presented. Ultimately, the theoretical results are involved in obtaining a positive, definite solution to nonlinear matrix equations as an application.eninfo:eu-repo/semantics/openAccessFixed Point TechniqueMultivalued F-ContractionM-Metric SpaceMultivalued MappingNonlinear Matrix EquationsArticle823842385910.3934/math.20231912-s2.0-85143233650WOS:000893553000004Q1Q1