Weaker forms of Contra Continuous Multifunctions

Authors

  • Pallavi Mirajakar K.L.E. Society's P.C.Jabin Science College, Vidyanagar, Hubballi, Dharwad Karnataka, India
  • Rajeshwari K K. Research Scholar, R and D Department, Bharatiar University, Coimbatore-641046, Tamilnadu, India
  • Sarika M. Patil Patil Department of Mathematics, Government First Grade College, Rajnagar, Hubballi, Karnataka, India
  • T.D.Rayangoudar Rayanagoudar Department of Mathematics, Government First Grade College, Rajnagar, Hubballi, Karnataka, India

DOI:

https://doi.org/10.23755/rm.v48i0.1374

Keywords:

αgs-closed set, αgs-open sets, αgs-continuous functions, αgs-contra continuous multifunctions.

Abstract

The purpose of this paper is to study αgs-continuous multifunctions. Some basic characterizations, preservation theorems and several properties concerning upper and lower αgs-continuous multifunctions are investigated.

Author Biography

  • Pallavi Mirajakar, K.L.E. Society's P.C.Jabin Science College, Vidyanagar, Hubballi, Dharwad Karnataka, India
    Department of Mathematics

References

M.E. Abd El-Monsef, A.A. Nasef, "On multifunctions," Chaos, Solitons and Fractals, Vol. 12, (2001), 2387-2394.

C. Berge, "Topological Spaces," Oliver and Boyd, Edinburgh-London, 1st English edition, (1963).

T. Bnzaru, "Multifunctions and M-product spaces," Bull. Stin. Tech. Inst. Politech. Timisoara, Ser. Mat. Fiz. Mer. Teoe. Apl. 17(31), (1972), 17-23.

C. Carlos Carpintero, N. Rajesn, Ennis Rosas, and S. Saranyasri, "On upper and lower contra ω continuous multifunctions," Novi Sad Jl. Math, Vol 44, No. 1, (2014), 143-151.

C. Carpintero, N. Rajesh, E. Rose, and S. Saranyasri, "On Upper and lower almost contra ω-continuous multifunctions," Italian Jl. of Pure and Appl. Mathematics, Vol. 32, (2014), 445-460.

E. Ekiri, S. Jafari, and V. Popa, "On Almost contra continuous multifunctions," Lobacheskii Jl. of Mathematics, Vol. 30, (2), (2009), 124-131.

E. Ekici, J.H. Park, "A weak form of some types of continuous multifunctions," Filomat, Vol.20:2, (2006), 13-32.

D.K. Ganguly, P. Mallick, "On generalized continuous multifunctions and their selections," Real Anal. Exchange, Vol.33, (2007), 449-456.

A. Kanibir, I.L. Reilly, "On almost L-continuous multifunctions," Hacettepe J. Math. Stat., Vol. 35, (2006), 181-188.

T. Noiri, V. Popa, "Almost weakly continuous multifunctions," Demonstratio Math., Vol. 26, (1993), 363-380.

T. Noiri, V. Popa, "Slightly m-continuous multifunctions," Bull. Inst. Math. Acad. Sinica(New series), Vol. 1(4), (2006), 485-505.

T. D. Rayanagoudar, "On Some Recent Topics in Topology," Ph.D. Thesis, Karnataka University, Dharwad, (2007).

Renukadevi V. and S. Vadakashi, "On lower and upper semi-continuous functions," Acta Mathematica Academiae Scientiarum Hungaricae, Vol.16, No. 1, (2019).

S. Willard, "General Topology," Dover Publications Inc., Mineola, New York, United States, (1970).

I. Zorlutuna, "On almost γ-continuous multifunctions," Math. Balkanica, Vol. 22, (2008), 223-233.

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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