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

نویسندگان

چکیده

Abstract We utilize Hardy-Rogers contraction and CJM−contraction in a C * −algebra valued partial metric space to create an environment establish fixed point. Next, we present examples elaborate on the novel validate our result. conclude paper by solving boundary value problem matrix equation as applications of main results which demonstrate significance motivation for such investigations.

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ژورنال

عنوان ژورنال: Acta Universitatis Sapientiae: Mathematica

سال: 2022

ISSN: ['1844-6094', '2066-7752']

DOI: https://doi.org/10.2478/ausm-2022-0023