C ⁎ -Algebra-Valued G-Metric Spaces and Related Fixed-Point Theorems

الملخص EN

We introduce the notion of the C⁎-algebra-valued G-metric space.

The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete C⁎-algebra-valued G-metric spaces are proved.

As an application, we prove the existence and uniqueness of the solution of a type of differential equations.