29Aug 2017
REGULAR MILDLY GENERALIZED CLOSED AND REGULAR MILDLY GENERALIZED OPEN MAPS IN TOPOLOGICAL SPACES.
- Department of Mathematics, Bhandari & Rathi College, Guledagudd-587 203, Karnataka, India.
- Department of Mathematics, Rani Channamma University, Belagavi-591 156, Karnataka, India.
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In this article, we introduce a new class of RMG-closed and RMG-open maps in topological spaces and study some of their properties as well inter relationship with other closed and open maps.
- Arockiarani, Studies on generalization of generalized closed sets and maps in topological spaces, Ph.D Thesis, Bharathiar University, Coimbatore, (1997)
- S. Benchalli and R. S. Wali, On rw-closed sets on topological spaces, Bull. MalaysiaMath. Sci. Soc., 30(2007), 99-110.
- El-Deeb, N. Hasanein, I. A. Noiri, T. and Mashhour, S. On P-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 27(1983), 311-319.
- Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(1970), 89-96.
- E. Long and L. L. Heirington, Basic properties of regular closed functions, Rend. Cir. Math. Palermo, 27(1978), 20-28.
- R. Malghan., Generalized closed maps, J. Karnataka Univ. Sci., 27(1982), 82-88.
- 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.
- S. Mashhour, M. E. Abd. El-Monsef and S. N. El-Deeb, On pre-continuous and mappings and weakly pre-continuous mappings, Proc. Math. Phy. Soc. Egypt, 53(1982), 47-53
- Nagaveni, Studies on Generalizations of Homeomorphisms in Topological Spaces, Ph.D.Thesis, Bharathiar University, Coimbatore, 1999.
- Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
- Palaniappan and K.C.Rao, Regular generalised closed sets, kyungpook math, J., 33(1993), 211-219.
- K. Park and J.H. Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitions and Fractals, 20(2004), 1103- 1111.
- Ravi1*. I. Rajasekaran1 and M. Sathyabama2, Weakly g*-closed sets, International Journal of Current Research in Science and Technology, Volume1, Issue 5(2015), 45-52.
- Ratnesh Kumar Saraf and Miguel Caldas, Between closed maps and g-closed maps, Bulletin of the Greek Mathematical Society Valume 53, 2007(135-146).
- Sheik John, A study on generalizations of sets on continuous maps in topological and bitopological spaces, Ph.D. Thesis Bharathiar Univ., Coimbatore (2002).
- Stone, Application of the theory of Boolian rings to general topology, Trans. Amer. Math. Soc., 41(1937), 374-481.
- S. Wali, Nirani Laxmi, On Regular Mildly Generalized (RMG) Closed sets in topological spaces. International Journal of Mathematical Archive-7(7), 2016, 108-114.
- S. Wali, Nirani Laxmi, 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.
- S. Wali, Nirani Laxmi and Basayya B. Mathad, On Regular Mildly Generalized (RMG) Continuous and irresolute functions in Topological Spaces?, International Journal of Mathematics Trends and Technology-Paper ID- MTT6167.
[R. s. wali, nirani laxmi and basayya b. Mathad. (2017); REGULAR MILDLY GENERALIZED CLOSED AND REGULAR MILDLY GENERALIZED OPEN MAPS IN TOPOLOGICAL SPACES. Int. J. of Adv. Res. 5 (Aug). 1877-1886] (ISSN 2320-5407). www.journalijar.com
NIRANI LAXMI
RESEARCH SCHOLAR, RANI CHANNAMMA UNIVERSITY, BELAGAVI, KARNATAKA(INDIA)
RESEARCH SCHOLAR, RANI CHANNAMMA UNIVERSITY, BELAGAVI, KARNATAKA(INDIA)