Towards a Unified Framework for Bioperations on $e^\star$-Open Sets in Topological Spaces

Abstract

In this paper, we introduce the concept of $e^\star_{[\gamma,\gamma']}$-open sets in topological spaces and examine their properties in detail. Additionally, we propose a new class of functions, termed $(e^\star_{[\gamma,\gamma']},\ e^\star_{[\beta,\beta']})$-continuous functions, and explore their fundamental characteristics.