On A Type Of Faint Continuous Functions

Year 2015, Volume: 4 Issue: 8, 84 - 91, 29.05.2015

Bishwambhar Roy

Abstract

In this paper a new class of functions called stronglyfaint (τ, µ)-continuous functions has been introduced. Some prop-Keywords erties of such functions are studied, furthermore the relationshipsopen set, strongly faint (τ, µ)between strongly faint (τ, µ)-continuous function and its graph arealso being investigated here.continuous function.µ-open set, θ

Keywords

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References

• M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β-open sets and β- continuous mappings, Bull. Fac. Sci. Assiut Univ., 12, 77-90, 1983.
• D. Andrijevi´c, Semi-preopen sets, Mat. Vesnik, 38, 24-32, 1986.
• M. C. Caldas, S. Jafari and T. Noiri, Some separation axioms via modified θ-open, Bull. Iran. Math. Soc., 29(2), 1-12, 2003.
• M. C. Caldas, On the faintly e-continuous functions, Sarajevo Jour. Math., 8(20), 159-170, 2012. ´
• A. Cs´asz´ar, Generalized topology, generalized continuity, Acta Math. Hungar., 96, 351-357, 2002. ´
• A. Cs´asz´ar, Separation properties of θ-modications of topologies, Acta Math. Hun- gar., 102, 151-157, 2004. ´
• A. Cs´asz´ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106, 53-66, 2005. ´
• A. Cs´asz´ar, Remarks on quasi topologies, Acta Math. Hungar., 119, 197-200, 2008.
• E. Ekici, Generalized hyperconnectedness, Acta Math. Hungar., 133, 140-147, 2011.
• E. Ekici, On e-open sets DP∗-sets DP E∗-sets and decompositions of continuity, Arabian Jour. Sci. Eng., 33(2A), 269-282, 2008.
• S. Jafari, Some properties of quasi θ-continuous functions, Far East J. Math. Soc., 6, 689-696, 1998.
• N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70, 36-41, 1963.
• G. D. Maio and T. Noiri, On s-closed spaces, Indian Jour. Pure Appl. Math., 18, 226-233, 1987.
• 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, 47-53, 1982.
• O. Njast˚ad, On some classes of nearly open sets, Pacific Jour. Math., 15, 961-970, 19 J. H. Park, D. S. Song and R. Saadati, On generalized δ-semiclosed sets in topo- logical spaces, Chaos Solitons and Fractals, 33, 1329-1338, 2007.
• S. Raychaudhuri and M. N. Mukherjee, On δ-almost continuity and δ-preopen sets, Bull. Inst. Math. Acad. Sinica, 21, 357-366, 1993.
• B. Roy, On a type of generalized open sets, Applied Gen. Topology, 12(2), 163-173, 20 B. Roy, Unification on a type of continuity, Publ. Math. Debrecen, 82(2), 503-510, 20 B. Roy and S. Jafari, On covering properties via generalized open sets, Annales Univ. Sci. Budapest., 55, 57-65, 2012.
• M. Saleh, On θ-closed sets and some forms of continuity, Archiv. Math., 40, 383- 393, 2003.
• R.-X. Shen, A note on generalized connectedness, Acta Math. Hungar., 122, 231- 235, 2009.
• S. SinhaRoy and S. Bandyopadhay, On θ-complete regular and locally θ-H-closed spaces, Bull. Cal. Math. Soc., 87, 19-26, 1995.
• N. V. Veliˇcko, H-closed topological spaces, Mat. Sb., 70, 98-112, 1966.