Some Properties of C∗-Graded Metric Spaces and Fixed Point Results

Shaban Sedghi, Aghil gilani, Mohammad foozooni

Abstract


In this paper, by using of C∗-algebra we give a metric with range in positive unit ball of a C∗-algebra. Indeed this is a generalization of a fuzzy metric space. Some definitions of compatible mappings of types (I) and (II) are introduced and some fixed and common fixed point theorems are proved.

Keywords


C∗-algebra, common fixed point theorem, compatible mappings of type (I) and (II).

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