Some contractive conditions for tripled fixed point theorems in C*-algebra-valued b-metric spaces

Abstract

Fixed point theorem is a very useful tool in the area of linear and nonlinear analysis. There are limited works done on C*-algebra-valued b-metric for tripled fixed point, hence the need to extent its coupled fixed point to tripled fixed point. This study establishes some tripled fixed point results for mappings that satisfy different contractive conditions based on the concept of a C*-algebra-valued b-metric spaces. This work also serves as a generalization to other relevant research in the literature.