Work

Extended suprametric spaces and Stone-type theorem

Year: 2023

Type: article

Abstract: Extended suprametric spaces are defined, and the contraction principle is established using elementary properties of the greatest lower bound instead of the usual iteration procedure. Thereafter, some topological results and the Stone-type theorem are derived in terms of suprametric spaces. Also, we have shown that every suprametric space is metrizable. Further, we prove the existence of a solution of Ito-Doob type stochastic integral equations using our main fixed point theorem in extended suprametric spaces.

Source: AIMS Mathematics

DOI: 10.3934/math.20231179

Authors: Sumati Kumari Panda, Ravi P Agarwal, Erdal Karapínar

Institutions: GMR Institute of Technology, Texas A&M University – Kingsville, Çankaya University, China Medical University, China Medical University Hospital

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4385185461