A note on Λ-g^★-closed sets in interval-valued topological spaces

Abstract

This paper introduces the notions of Λ-g^★-closed sets and Λ-g^★-open sets in interval-valued topological spaces. Basic properties and several characterizations of these sets are discussed. The connections between interval-valued Λ-g^★-closed sets and other types of interval-valued generalized closed sets are also examined. In addition, a few important results concerning their behavior and structural properties are obtained. These newly defined sets extend the study of generalized closedness in interval-valued topology and provide further scope for investigation in this area.

1. Introduction

Motivated by these developments, in this paper we introduce the concepts of Λ-g^★-closed sets and Λ-g^★-open sets in interval-valued topological spaces. Several basic properties and characterizations of these newly defined sets are obtained. Moreover, the relationships between interval-valued Λ-g^★-closed sets and other existing classes of interval-valued generalized closed sets are discussed. The results presented in this paper contribute to the further development of generalized structures in interval-valued topology and may provide a foundation for future investigations in this field.

This page shows an excerpt of the introduction. The full text, including the theorems, proofs and examples, is available in the PDF.

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Cite this article

Rajasekaran, I. & Habeba, A.A. (2026). A note on Λ-g^★-closed sets in interval-valued topological spaces. Asia Mathematika, 10(2), 18–27. https://doi.org/10.5281/zenodo.23086436

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