Q_(P-)Continuous Multifunctions and Q_- Closed Multifunctions
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1167Keywords:
Q_(P-) open set, ,Q_P-closed, closure ,Q_P -interior, Q_P-open multifunctionsAbstract
In this paper, by means of sets, we introduce we have provided some basic definitions that we need in the research in addition to the definition of, continuous multifunctions and investigate certain ramifications of continuous multifunctions, along with their several properties, characterizations and mutual relationships. Further we introduce new types of multifunctions, called multifunctions via open sets. The relationship between these multifunctions and continuous multifunction are studied .
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References
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[8] H. Zhou, O. G. Hammad, and A. M. Khalil "On Qp-Closed Sets in Topological Spaces" Hindawi , Journal of Math.Vol. 2022 , 10 pages,2022
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[11]Orhan ,Ozer , "A Not on Multifunction" , Acta . sci,Math 46, (1983), 121-529 .
[12] Simithson , R. E. , "Subcontinuity for Multifunctions" , Pacific Journal of math. 1, 283-288, 1975
[13]V.Popa and Noiri, "On upper and lower pre-continuous multifunctions" Real Anal.sExchange 22(1) (1997), 362-376.
[14]V.Popa and Noiri, T., "On Upper And Lower Weakly α-Continuous Multifunctions" Novi Sad J. Math Vol. 32, No. 1, 2002, 7-24
[2] 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), 47–53.
[3] Basu , C. K. , and GHosh , M. K. ,"Properties of Almost Continuous Multifunction " ,Southeast Asian Bulletin of Math. , (2008) 32 : 223-234 .
[4] Ganguly , D. K. and Mitra , Chandrani , "On Some Weaker Forms of B*-Continuity for Multifunction" , Soohow Journal of Math., vol. 32 , NO. 1 , January (2006) : pp. 59-69 .
[5] H. Maki, R. Devi, and K. Balachandran, “Generalized α-closed
sets in topology,” Bulletin Fukuoka University, vol. 42, pp. 13–21, 1993.
[6] H. Maki, K. Balachandran, and R. Devi, “Associated topologies of generalized α-closed sets and α-generalized closed sets,” Memoirs of the Faculty of Science Kochi University Series A Mathematics, vol. 15, pp. 51–63, 1994.
[7] H. Maki, J. Umehara, and T. Noiri, “Every topological space is
pre-T1/2,” Memoirs of the Faculty of Science Kochi University Series A Mathematics, vol. 17, pp. 33–42, 1996.
[8] H. Zhou, O. G. Hammad, and A. M. Khalil "On Qp-Closed Sets in Topological Spaces" Hindawi , Journal of Math.Vol. 2022 , 10 pages,2022
[9]James , J. , "Multifunction And Graphs" Pacific J. Math. , 79(2) , (1978) , 509-529 .
[10]N. Levine, “Generalized closed sets in topology,” Rendiconti del Circolo Matematico di Palermo, vol. 19, no. 1, pp. 89–96, 1970. .
[11]Orhan ,Ozer , "A Not on Multifunction" , Acta . sci,Math 46, (1983), 121-529 .
[12] Simithson , R. E. , "Subcontinuity for Multifunctions" , Pacific Journal of math. 1, 283-288, 1975
[13]V.Popa and Noiri, "On upper and lower pre-continuous multifunctions" Real Anal.sExchange 22(1) (1997), 362-376.
[14]V.Popa and Noiri, T., "On Upper And Lower Weakly α-Continuous Multifunctions" Novi Sad J. Math Vol. 32, No. 1, 2002, 7-24
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Published
2023-04-03
How to Cite
Abed, A. K. (2023). Q_(P-)Continuous Multifunctions and Q_- Closed Multifunctions. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 52–60. https://doi.org/10.29304/jqcm.2023.15.1.1167
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Math Articles
