On Interval-Valued Λ-Sets and 𝜆-Closed Sets via Kernel Operators
1PG and Research Department of Mathematics, Tirunelveli Dakshina Mara Nadar Sangam College, T. Kallikulam-627113, Tirunelveli District, Tamil Nadu, India.2PG and Research Department of Mathematics, Kamaraj College, Thoothukudi-628001, Tamil Nadu, India.
* Corresponding Author: I. Rajasekaran. Email: sekarmelakkal@gmail.com
Received: 05 March 2026 |
Accepted: 28 April 2026 |
Download PDF
ABSTRACT.
In this study, we investigate specific kernel structures within interval valued topological spaces. We introduce the notions of interval-valued Λ-sets and interval-valued λ-closed sets and discuss their essential properties. The connections between these concepts and existing notions in interval-valued topology are examined in detail. Various characterizations and foundational results are presented to clarify their structural behavior. This work aims to enhance and extend the theoretical framework of interval-valued topology.
I. Rajasekaran and O. Nethaji.
On Interval-Valued Λ-Sets and 𝜆-Closed Sets via Kernel Operators.
Annals of Communications in Mathematics
https://doi.org/10.62072/acm.2026.09019
Copyright © 2026 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
https://creativecommons.org/licenses/by/4.0/).
Open Access
