Affiliation:
1. Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, THAILAND
Abstract
The purpose of the present paper is to introduce the concepts of Λsp-sets, (Λ, sp)-open sets and (Λ, sp)- closed sets which are defined by utilizing the notions of β-open sets and β-closed sets. Some characterizations of Λsp-submaximal spaces, Λsp-extremally disconnected spaces and Λsp-hyperconnected spaces are established. Moreover, several characterizations of upper and lower (Λ, sp)-continuous multifunctions are investigated.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Reference23 articles.
1. M.–E. Abd El-Monsef, S.–N. El-Deeb and R.–A. Mahmoud,β-open sets andβ-continuous mappings, Bull. Fac. Sci. Assiut Univ.12, 1983,pp. 77–90.
2. N. Ajmal and J.–K. Kohli, Properties of hyperconnected spaces, their mappings into Haus-dorff spaces and embeddings into hypercon-nected spaces, Acta Math. Hungar.60, 1992,pp. 41–49.
3. D. Andrijevi ́c, Onb-open sets,Mat. Vesnik48,1996, pp. 59–64.
4. A.–V. Arhangelski ̆i and P.–J. Collins, On sub-maximal spaces,Topology Appl.64,1995,pp. 219–241.
5. T. Banzaru, Multifunctions and M-productspaces,Bull.Stin.Tech.Inst.Politech.Timisoara, Ser. Mat. Fiz. Mer. Teor. Apl.17(31),1972, pp. 17–23.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Upper and lower weakly (Λ, sp)-continuous multifunctions;European Journal of Pure and Applied Mathematics;2023-04-30
2. Upper and Lower Almost β(Λ, sp)-continuous Multifunctions;WSEAS TRANSACTIONS ON MATHEMATICS;2022-12-16
3. Upper and Lower α(L, sp)-continuous Multifunctions;WSEAS TRANSACTIONS ON MATHEMATICS;2022-09-20
4. (Λ,sp)-Continuous Functions;WSEAS TRANSACTIONS ON MATHEMATICS;2022-06-15
5. Some Open Sets and Related Topics in Topological Spaces;WSEAS TRANSACTIONS ON MATHEMATICS;2022-06-08