Some New Contra-Continuous Functions in Topology

Md. Hanif Page, P. G. Patil


In this paper we apply the notion of sgp-open sets in topological space to present and study a new class of functions called contra and almost contra sgp-continuous functions as a generalization of contra continuity which was introduced and investigated by Dontchev [5]. We also discuss the relationships between them and with some other related functions.


sgp-closed set; Contra-continous; Contra sgp-continuous; Almost contra sgp-continuous function

Full Text:



Mahesh Bhat, Some Studies in point set topology some more generalized open and generalized closed sets and their properties in topological spaces Ph.D. Thesis, Karnatak

University, Dharwad (2007).

S.G. Crossley and S.K. Hildebrand, Semi-topological properties, Fund. Math., 74(1972), 233-254.

G.Di. Maio, On s-closed spaces, S-sets and S-continuity functions Accad Sci Torino, 118(1984), 125-134.

K.Dlaska, N.Ergun and M.Ganster, Countably S-closed spaces, Mathematica Slovaca, 44(3)(1994), 337-348.

J. Dontchev, Contra continuous functions and strongly S-closed mappings, Int. J. Math. Sci., 19(1996), 303-310.

J. Dontchev and T. Noiri, Contra semi continuous functions, Mathematica Pannonica, 10(2) (1999), 159-168.

S.Jafari and T. Noiri, Contra-(alpha)-continuous functions between topological spaces, Bulletin of the Malaysian Mathematical Sciences Society, 25(2) (2002), 115-128.

N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.

Govindappa Navalagi and Mahesh Bhat, On sgp-closed sets in Topological spaces, Journal of Applied Mathematical Analysis and Applications, 3(1)(2007), 45-58.

T. Noiri, On almost continuous functions, Indian. Jl. of Pure and Appl. Maths., 20(1989), 571-576.

T. Noiri, On super continuity and some strong forms of continuity, Indian. Jl. of Pure and Appl. Maths., 15(1984), 241-250.

Md. Hanif Page, On Almost Contra (theta)gs-Continuous functions, Gen. Math. Notes, 15(2)(2013), 45-54.

Md. Hanif Page, On Contra (theta)gs-Continuous functions, International Journal of Mathematics Trends and Technology, 5(2014), 16-21.

P.G.Patil, T.D.Rayanagoudar and Mahesh Bhatt, On Some New Functions of g(^*)p-Continuity in Topological Spaces, IInt. J. Contemp.Math.Sciences, 6(20)(2011),991-

M.K. Singal and A.R. Singal, Almost continuous mappings, Yokohoma Math., 3(1968), 63-73.

M.K. Singal, A.R. Singal and A. Mathur, On nearly compact spaces, Bol Unione Mat. Ital, 2(1969), 702-710.

T. Soundararajan, A weakly Hausdorff spaces and cardinality of topological spaces, General topology and its relations to modern analysis and algebra, III Proc. Conf.

Kanpur 1968, Academia, Prague, 41(1971), 301-306.

R. Staum, The algebra of bounded continuous functions into a non- archimedean

field, Pacific J. Math., 50(1974), 169-185.

M. Stone, Applications of the theory of boolean rings to general topology, Trans. Amer. Math. Soc., 41(1937), 374-481.

Thomspon T.S., S-closed spaces, Proc.Amer.Math.Soc., 60(1976), 335-338.



  • There are currently no refbacks.

eISSN 0975-8607; pISSN 0976-5905