Some extension results on cone b -metric spaces over Banach algebras via $$\varphi $$φ -operator

We first state the concepts of cone b-norm and cone b-Banach space as generalizations of cone b-metric spaces, and then we give a definition of $$\varphi $$ -operator and obtain some new fixed point theorems in cone b-Banach spaces over Banach algebras by using $$\varphi $$ -operator.