Fixed point results for Zamfirescu mappings in A-metric spaces

TL;DR

This paper extends fixed point theorems for Zamfirescu mappings to A-metric spaces, broadening the applicability of these results and providing new theoretical insights with examples.

Contribution

The paper introduces the concept of Zamfirescu mappings in A-metric spaces and proves a fixed point theorem for these mappings, extending existing literature.

Findings

Fixed point theorem for Zamfirescu mappings in A-metric spaces

Extension of classical results to a new space setting

Provided illustrative example

Abstract

In the present paper, we extend the Zamfirescu results ([9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results carry some well-known results from the literature (see [2], [3], [4], [9]) to A-metric spaces. Appropriate example is also given.