Bota,M.-F.Ilea,V.Karapinar,E.Mleşniţe,O.Mathematics2024-07-052024-07-05201561935-009010.12785/amis/0905452-s2.0-84937920254https://doi.org/10.12785/amis/090545https://hdl.handle.net/20.500.14411/3779In this paper, we will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.eninfo:eu-repo/semantics/closedAccessB-metric spaceFixed pointUlam-hyers stabilityWell-posednessα*-ψ-contractive multivalued operatorArticleQ39526112620