Fundamental Characteristics of the Product-Operated Metric Spaces

Abstract

In the field of metric fixed point theory, there are several generalized or modified types of metric space. One such type is called multiplicative metric space. It was initially introduced as a modified version of the metric space, but was later found to be equivalent to the metric space. However, it allows the researchers to view the concept of metric space from a different perspective. Consequently, the idea of product-operated metric space is introduced in this article, which is obtained by removing the slackness of the multiplicative metric space. This article also presents some fundamental characteristics of the product-operated metric space and investigates the existence of fixed points for self-maps in product-operated metric spaces.