Year: 2025
Type: article
Abstract: In this study, we investigate the concepts of ∆-continuous, ∆-irresolute, ∆-open, and ∆-closed mappings.We establish that every continuous mapping is inherently ∆-irresolute and that every ∆irresolute mapping is ∆-continuous.However, the converse implications do not necessarily hold.This distinction sets ∆-continuous mappings apart from traditional continuous mappings, particularly since the composition of two ∆-continuous mappings may not always preserve ∆-continuity.We propose several methods for constructing new ∆-continuous (or ∆-irresolute) mappings from existing ones, including pasting-type lemmas specifically tailored for these mappings.Additionally, we present counterexamples to illustrate and clarify these concepts.
DOI: 10.28924/apjm/12-38
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409465157