On α ∗ -ψ-Contractive Multi-Valued Operators in b-Metric Spaces and Applications
In this paper, we will prove some existence and uniqueness theorems for α∗-ψ contractive type operators defined over b- metric spaces. In particular, we will provide results relat ed 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 wil l also give examples to illustrate the applications our results. Subject class: (2000)46T99, 47H10; 54H25.