International Journal of Mathematics Trends and Technology
Volume 47 | Number 4 | Year 2017 | Article Id. IJMTT-V47P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P531
The aim of this paper is introduce and investigate new class of mappings called Regular Mildly Generalized Continuous (briefly RMG- Continuous) maps. Also introduced Regular Mildly Generalized Irresolute (briefly RMG-Irresolute) mappings which are stronger then RMG-continuous mappings are studied and the relationships between these mappings are investigated. Several properties of these new notations have been discussed and the connections between them are studied.
[1] D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38(1986), 24-32.
[2] K.Balachandran, P.Sundaram and H.Maki, On generalized continuous maps in topological spaces, Mem. Fac. Sci .Kochi Univ. Ser
A.Math.,12(1991), 5-13.
[3] J. Dontchev and T. Noiri, Quasi-normal spaces and π-g-closed sets,Acta Math. Hungar.,89(3)(2000), 211-219.
[4] A.S. Mashhour, M.E. Abd. El-Monsef and S.N. El-Deeb, On pre continuous mappings and weak pre-continuous mappings, Proc Math, Phys.
Soc. Egypt, 53(1982), 47-53.
[5] H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Sci. Kochi
Univ.Ser. A. Math., 15(1994), 51-63.
[6] N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer.Math. Monthly, 70(1963), 36-41.
[7] N.Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo,19(1970), 89-96.
[8] N. Nagaveni, Studies on Generalizations of Homeomorphisms in Topological Spaces, Ph.D.Thesis, Bharathiar University, Coimbatore, 1999.
[9] O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
[10] O. Ravi1*, I. Rajasekaran1 and M. Sathyabama2, Weakly g*-closed Sets, International Journal of Current Research in Science and
Technology, Volume 1, Issue 5 (2015), 45-52.
[11] O. Ravi, S. Ganesan and S. Chandrasekar, On weakly 𝜋𝑔-closed sets in topological spaces, Italian Journal of Pure and Applied Mathematics
(To Appear).
[12] N. Palaniappan and K.C.Rao, Regular generalized closed sets, kyungpook math, J.,33(1993), 211-219.
[13] J.K. Park and J.H. Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitions and Fractals, 20(2004),
1103- 1111.
[14] M.Sheik John, A study on generalization of closed sets on continuous maps in topological and bitopological spaces, Ph.D., Thesis,
Bharathiar University, Coimbatore(2002).
[15] M. Stone, Application of the theory of Boolean rings to general topology,Trans. Amer. Math.Soc., 41(1937), 374-481.
[16] N.V. Velicko, H-closed Topological Spaces, Tran. Amer. Math. Soc., 78 (1968), 103-118.
[17] R. S. Wali, Some topics in general and fuzzy topological spaces, Ph.D., Thesis, Karnataka University, Dharwad(2006).
[18] R. S. Wali, Nirani Laxmi, On Regular Mildly Generalized (RMG) Closed sets in topological spaces. International Journal of Mathematical
Archive-7(7), 2016, 108-114.
[19] R. S. Wali, Nirani Laxmi, On Regular Mildly Generalized (RMG) Open sets in topological spaces.On Regular Mildly Generalized (RMG)
Open Sets in Topological Spaces”, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue
4, Ver. IV (Jul.-Aug.2016), PP 93-100.
R. S. Wali, Nirani Laxmi, Basayya B.Mathad, "Regular Mildly Generalized Continuous and Irresolute Functions in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 4, pp. 230-240, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P531
PDF 
Abstract 
Keywords 
References 
Citation