Hammad, Hasanen A.Ameer, EskandarArshad, MuhammadJarad, FahdMudhesh, Mustafa02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-01-162025-09-182024-01-162025-09-182023Mudhesh, Mustafa;...et.al. (2023). "Novel results on fixed-point methodologies for hybrid contraction mappings in Mb-metric spaces with an application", AIMS Mathematics, Vol.8, no.1, pp.1503-1549.2473-6988https://doi.org/10.3934/math.2023077https://hdl.handle.net/123456789/12819Hammad, Hasanen A./0000-0001-8724-9367; Arshad, Muhammad/0000-0003-3041-328XBy combining the results of Wardowski's cyclic contraction operators and admissible multi -valued mappings, the motif of eta-cyclic (alpha(*), beta(*))-admissible type F-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of Mb-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.eninfo:eu-repo/semantics/openAccessFixed Point MethodologyM-B-Metric SpaceEta-Cyclic (Alpha(*),Beta(*))-Admissible F-Contraction Multivalued MappingArticle10.3934/math.20230772-s2.0-85140266588