(Λ,sp)-Continuous Functions

75bc5ddf-e248-42b2-bd00-8d732096548520220615083342616wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40511520221520222110.37394/23206.2022.21https://wseas.com/journals/mathematics/2022.php(Λ,sp)-Continuous FunctionsChokchaiViriyapongMathematics and Applied Mathematics Research Unit Department of Mathematics, Faculty of Science, Mahasarakham University Maha Sarakham, 44150 THAILANDChawalitBoonpokMathematics and Applied Mathematics Research Unit Department of Mathematics, Faculty of Science, Mahasarakham University Maha Sarakham, 44150 THAILANDThis paper deals with the concept of (Λ, sp)-continuous functions. Moreover, several characterizations of (Λ, sp)-continuous functions are investigated.6152022615202238038545https://wseas.com/journals/mathematics/2022/a905106-1594.pdf10.37394/23206.2022.21.45https://wseas.com/journals/mathematics/2022/a905106-1594.pdfM.–E. Abd El-Monsef, S.–N. El-Deeb and R.– A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Assiut Univ. 12, 1983, pp. 77–90. 10.37394/23206.2020.19.31C. Boonpok, (Λ, sp)-closed sets and related topics in topological spaces, WSEAS Tran. Math. 19, 2020, pp. 312–322. 10.21136/mb.1993.125933J. Bors´ı, On almost quasicontinuous functions, Math. Bohemica 118, 1993, pp. 241–248. J. Bors´ı and J. Dobos, On decompositions ˇ of quasicontinuity, Real Anal. Exchange 16, 1990/91, pp. 292–305. M. Caldas, D.–N. Georgiou and S. Jafari, Study of (Λ, α)-closed sets and the related notions in topological spaces, Bull. Malays. Math. Sci. Soc. (2) 30 (1), 2007, pp. 23–36. J. Ewert, On almost quasicontinuity of functions, Tatra Mountains Math. Publ. 2, 1993, pp. 81–92. 10.2307/2312781N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70, 1963, pp. 36–41. N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly 69, 1961, pp. 44–46. R.–A. Mahmoud and M.–E. Abd El-Monsef, βirresoute and β-topological invariant, Proc. Pakistan Acad. Sci. 27 (3), 1990, pp. 285–296. 10.4064/cm-8-1-47-53S. Marcus, Sur les fonctions quasicontinues au sens de S. Kempisty, Colloq. Math. 8, 1961, pp. 47–53. A.–S. Mashhour, M.–E. Abd El-Monsef and S.– N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53, 1982, pp. 47–53. 10.1023/b:amhu.0000028409.42549.72T. Noiri and E. Hatir, Λsp-sets and some weak separation axions, Acta Math. Hungar. 103, 2004, pp. 225–232. 10.2307/44152301V. Popa and T. Noiri, On β-continuous functions, Real Anal. Exchange 18, 1992/93, pp. 544–548. M.–K. Singal and A. Mathur, On weaklycompact spaces, Boll. Union Mat. Ital. 42, 1969, pp. 702–712. M.–K. Singal and A.–R. Singal, Almost continuous mappings, Yokohama Math. J. 16, 1968, pp. 63–73.