Author(s)

Najah A. AlSaedi

Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia,.

In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.

L-Topological Space, HB-Closed Set, H-Bounded Set, HB-Continuous Mappings, HB-Convergence, L-Molecular Nets, L-Ideals

AlSaedi, N. (2024) HB-Continuous Mappings in L-Topological Space. Advances in Pure Mathematics, 14, 333-353. doi: 10.4236/apm.2024.145019.