Ideal structure with new categories of generalized topological spaces

Abstract

This paper aims to propose and examine four new operators based on the fundamental structure “ideal” and the notion of “generalized” producing four new generalized ideal topological spaces. The introduced structures are explained in detail in terms of topological basic theories and some properties. Moreover,  we obtain some results for the produced generalized ideal topological spaces. Also,  we extend more concepts of the topological suitability for an ideal. Further,  we provide several essential results related to these new frameworks. We also  provide some examples to further illustrate our discussions and related findings.