Fixed point of weak (βB, ψB )-contractive mapping in C* -algebra valued partial metric spaces

Abstract

In this paper, the concept of a weak (βB, ψB )-contractive mapping has been introduced within the context of C*-algebra valued partial metric space, and existence of fixed point is established by utilizing the C-class function. Further, several non-trivial examples are provided to show the validity of our results and as application of proved result an integral equation is solved.

Keywords

• c*-algebra valued partial metric space (c*-avpms)
• weak contraction map
• fixed point (fp)