On existence of fixed points and applications to a boundary value problem and a matrix equation in C*−algebra valued partial metric spaces

Anita Tomar; Meena Joshi

doi:10.2478/ausm-2022-0023

Abstract

We utilize Hardy-Rogers contraction and CJM−contraction in a C^*−algebra valued partial metric space to create an environment to establish a fixed point.

Next, we present examples to elaborate on the novel space and validate our result. We conclude the paper by solving a boundary value problem and a matrix equation as applications of our main results which demonstrate the significance of our contraction and motivation for such investigations.

References

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On existence of fixed points and applications to a boundary value problem and a matrix equation in C*−algebra valued partial metric spaces

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