Some Fixed-Point Theorems on Quasi M -Metric Spaces
Rofiud Darojad, Christiana Rini Indrati

Department of Mathematics, Universitas Gadjah Mada, Indonesia

Abstract

In this paper, it will be discussed a metric that is constructed based on a quasi M -metric
and a new definition of Cauchy sequences in quasi M -metric spaces. The discussion will be
continued by giving a relationship between completeness in the quasi M -metric space and
the constructed metric space. Furthermore, it will be developed some fixed-point theorems
on quasi M -metric spaces

Keywords: Quasi M-Metric, Cauchy Sequence, Completeness, Fixed Point

Topic: Functional Analysis