Suzuki type multivalued contractions in C*-algebra valued metric spaces with an application

Abstract

In the present paper, we established multivalued fixed point results on C*-algebra valued metric spaces and utilized the same to prove fixed point results via Suzuki type contraction. An example is also given to exhibit the utility of our main result. We also provided a system of Fredholm integral equations to examine the existence and uniqueness of solutions supporting our main result.

Keywords

• c*-algebra valued metric space
• suzuki type contraction
• multivalued fixed point