Soft Cone Metric Spaces and Some Fixed Point Theorems

TL;DR

This paper introduces soft cone metric spaces, explores their properties, and establishes fixed point theorems for contractive mappings within these spaces, expanding the theoretical framework of soft metric spaces.

Contribution

It defines soft cone metric spaces and proves new fixed point theorems for contractive mappings in this context.

Findings

Established properties of soft cone metric spaces

Proved fixed point theorems for contractive mappings

Extended classical fixed point results to soft cone metric spaces

Abstract

This paper is an introduction to soft cone metric spaces. We define the concept of soft cone metric via soft element, investigate soft converges in soft cone metric spaces and prove some fixed point theorems for contractive mappings on soft cone metric spaces.