Selection of slightly $B^*$-continuous multifunctions
Eurasian mathematical journal, Tome 13 (2022) no. 2, pp. 55-61.

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In the present paper, the existence of quasicontinuous selection for slightly $B^*$-continuous multifunctions is established.
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P. Jain; C. Basu; V. Panwar. Selection of slightly $B^*$-continuous multifunctions. Eurasian mathematical journal, Tome 13 (2022) no. 2, pp. 55-61. http://geodesic.mathdoc.fr/item/EMJ_2022_13_2_a4/

[1] L. Carbone, “Selezioni continue in spazi non lineari e punti fissi”, Rend. Circ. Math. Palermo, 25 (1976), 101–115 | DOI | MR | Zbl

[2] A. Fryszkowski, “Continuous selection for a class of non-convex multivalued maps”, Sudia Mathematica, 76 (1983), 163–173 | DOI | MR

[3] D. K. Ganguly, C. Mitra, “On some weaker forms of B$^*$-continuity for multifunctions”, Soochow J. Math., 3 (2006), 59–69 | MR

[4] D. K. Ganguly, P. Mallick, “Quasi continuous selections for finite valued multifunctions”, Proceeding of IDOMS International Conference of Mathematics and its Applications, 2009, 113–118

[5] D. K. Ganguly, P. Mallick, “Note on some classes of generalized continuous functions”, Bulletin of Pure and Applied Mathematics, 4 (2010), 184–188 | MR | Zbl

[6] P. Jain, C. Basu, V. Panwar, “On some generalized B$^*$-continuity, B$^*$-coverings and B$^*$-separations”, J. Eurasian Math., 10 (2019), 28–39 | DOI | MR | Zbl

[7] P. Jain, C. Basu, V. Panwar, “On B$^*$-clopen continuity, oscillation and convergence”, Tbilisi Math. J., 13 (2020), 129–140 | DOI | MR | Zbl

[8] I. Kupka, “Quasicontinuous selections for one-to-finite multifunctions”, Universities Comeniana Acta Mathematica Universitatis Comenianae, LVIII–LIX (1992), 207–213 | MR

[9] M. Matejdes, “Sur les selecteurs des multifonctions”, Math. Slovaca, 37 (1987), 111–124 | MR | Zbl

[10] M. Matejdes, “Selection theorems and mimimal mappings in a cluster setting”, Rocky Moun. J. Math., 41 (2011), 851–867 | MR | Zbl

[11] E. Michael, “Continuous selections I”, Annals of Mathematics, 63 (1956), 361–382 | DOI | MR | Zbl

[12] C. Mitra, D. K. Ganguly, “Some results on the $\mathcal{E}_p$-cluster system”, Bull. Cal. Math. Soc., 106 (2014), 453–458 | MR | Zbl

[13] S. Willard, General topology, Addison-Wesley, 1970 | MR | Zbl