Common Fixed Point Theorem for (\(\phi\),\(\mathfrak{F}\))–Multi-Valued Mappings in Cone b-Metric Spaces over Banach Algebra

In the present paper, we introduced concept of generalized multi-valued contraction mappings, via class functions \(\Phi\) and \(\Psi\) Also proved some fixed point results for (\(\phi\),\(\mathfrak{F}\))- mappings on cone b-metric spaces over Banach algebra \(\mathfrak{V}\). The conditions existence uniqueness are investigated. We give an example to support our main result.