1390cf09-7926-48ce-92df-821f760b030820210218122309731wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS1109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40512720202720201910.37394/23206.2020.19http://wseas.org/wseas/cms.action?id=23185Almost Weak Continuity for Multifunctions in Ideal Topological SpacesChawalitBoonpokMathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, THAILANDChokchaiViriyapongMathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, THAILANDThe main goal of this paper is to introduce the concepts of upper and lower almost weakly ⋆-continuous multifunctions. Some characterizations of upper and lower almost weakly ⋆-continuous multifunctions are investigated.712020712020367372https://www.wseas.org/multimedia/journals/mathematics/2020/a745106-1233.pdf10.37394/23206.2020.19.37https://www.wseas.org/multimedia/journals/mathematics/2020/a745106-1233.pdfM. E. Abd El-Monsef, E. F. Lashien and A.A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J. 32, 1992, pp.21–30.10.1023/b:amhu.0000049280.10577.4eA. Açikgöz, T. Noiri and Ş. Yüksel, A de-composition of continuity in ideal topological spaces, Acta Math. Hungar.105, 2004, pp. 285–289.C.Berge,Espaces topologiques fonctions multi-voques, Dunod, Paris, 1959.10.37418/amsj.9.1.28C. Boonpok, Weak quasi continuity for multifunctions in ideal topological spaces,Adv.Math., Sci. J.9(1), 2020, pp. 339–355.10.1134/s1995080219010049C. Boonpok, On continuous multifunctionsin ideal topological spaces, Lobachevskii J.Math.40, 2019, pp. 24–35.J. Dontchev, Idealization of Granter-Reilly decomposition theorems, arxiv:math.GN/9901017v1, 1999.10.1134/s1995080209020048E. Ekici, S. Jafari and V. Popa, On almost contra-continuous multifunctions, Lobachevskii, J. Math.30, 2009, pp. 124–131.E. Ekici, S. Jafari, M. Caldas and T. Noiri, Weakly λ-continuous functions, Novi Sad J. Math. 38, 2008, pp. 47–56.10.1007/s10474-005-0210-2E. Hatir, A. Keskin and T. Noiri, A note on strong β-I-open sets and strongly β-I-continuous functions, Acta Math. Hungar. 108, 2005, pp. 87–94.10.1007/s10474-005-0202-2E. Hatir and T. Noiri, On semi-I-open sets and semi-I-continuous functions,Acta Math. Hun-gar.107, 2005, pp. 345–353.E.Hatir and T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar.96,2002, pp. 341–349.T. Husain, Almost continuous mappings, PraceMat.10, 1966, pp. 1–7.10.1080/00029890.1990.11995593D. S. Janković and T.–R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97, 1990, pp. 295–310.D. S. Janković, θ-regular spaces, Internat. J.Math. Math. Sci.8, 1985, pp. 615–619.K. Kuratowski, Topology, Vol. I, Academic–Press, New York, 1966.N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly 68,1961, pp. 44–46.T. Noiri and V. Popa, A unified theory of almost continuity for multifunctions, Sci. Stud. Res. Ser. Math. Inform.20, 2010, pp. 185–124.T. Noiri and V.Popa, Almost weakly continuous multifunctions, Demonstration Math.26, 1993,pp. 363–380.10.1007/bf02871656V. Popa and T. Noiri, On weakly (τ; m)-continuous functions,Rend. Circ. Mat.Palermo 51, 2002, pp. 295-316.V. Popa, Weakly continuous multifunctions,Boll. Un. Mat. Ital.(5), 15-A, 1978, pp. 379–388.V. Popa, On certain properties of quasi continuous and almost continuous multifunctions (Romanian),Stud. Circ. Mat.30,1978,pp.441–446.R. E. Smithson, Almost and weak continuity for multifunctions, Bull.Calcutta Math.Soc.70,1978, pp. 383–390.V. Vaidyanathswamy, The localization theory inset topology, Proc. Indian Acad. Sci.20, 1945,pp. 51–61.Ş. Yüksel, A. Açikgöz, and E. Gursel, On a new type of continuous functions in ideal topological spaces, J. Indian Acad. Math. 28, 2007, pp.427–438.Ş. Yüksel, T. H. Simsekler, Z. Guzel andT. Noiri, Strongly θ-pre-I-continuous functions, Sci. Stud. Res. Ser. Math. Inform. 20,2010, pp. 111–126.