Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications
Summary: We study the sufficient conditions for the existence of a unique common fixed point of generalized \(\alpha_s\)-\(\psi\)-Geraghty contractions in an \(\alpha_s\)-complete partial \(b\)-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of our findings we demonstrate the existence of the solution of the system of elliptic boundary value problems.
scientific article; zbMATH DE number 6933361
scientific article