Some fixed point theorems for multi-valued mappings on partial cone metric spaces

TL;DR

This paper extends fixed point theorems to multi-valued mappings within partial cone metric spaces, generalizing classical results like Kannan's and Chatterjea's theorems.

Contribution

It introduces fixed point theorems for multi-valued mappings on partial cone metric spaces, broadening the scope of classical fixed point results.

Findings

Established Kannan-type fixed point theorem for multi-valued mappings

Proved Chatterjea-type fixed point theorem in the same setting

Extended fixed point theory to partial cone metric spaces

Abstract

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings on partial cone metric spaces.