Algebraic distance in algebraic cone metric spaces and its properties

Subject Areas : Functional analysis

K. Fallahi ¹ , G. Soleimani Rad ²

1 - Department of Mathematics, Payame Noor University, Tehran, Iran
2 - Department of Mathematics, Payame Noor University, Tehran, Iran

Received: 2018-07-30 Accepted : 2018-09-22 Published : 2018-11-01

Keywords: Algebraic cone metric space, algebraic distance, algebraic interior,

Abstract :

In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.

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