FIXED POINTS AND ITS APPLICATIONS IN C*- ALGEBRA VALUED PARTIAL METRIC SPACE

FIXED POINTS AND ITS APPLICATIONS IN C*- ALGEBRA VALUED PARTIAL METRIC SPACE

A. Tomar, M. Joshi, A. Deep

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Abstract

We familiarise with the concepts of contractiveness and expansiveness in a Calgebra valued partial metric space and create an environment for the existence of xed point in it. We solve an integral equation and an operator type equation as an application of main result. Further we give some examples to elaborate C????algebra valued partial metric space and show that there exist situations when a partial metric result can be applied, while the standard metric one cannot.

Keywords

C????algebra valued partial metric space, completeness, contraction, expan- sion.