On continuous selections of weakly $(1,2)^*$-g̈-closed maps

N. Rajasekar; R. Karthik

doi:10.26637/MJM0703/0030

Abstract

In this paper, the concepts of weakly $(1,2)^*-\ddot{g}$-continuous maps, weakly $(1,2)^*-\ddot{g}$-compact spaces and weakly $(1,2)^*$-g-connected spaces are introduced and some of their properties are investigated.

Keywords:

Weakly $(1,2)^* -g̈-$ closed set, Weakly $(1,2)^∗ - ¨ g -$ continuous maps, Weakly $(1,2)^∗ - ¨ g -$ compact spaces and Weakly $(1,2)^∗ -¨ g-$ connected

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

N. Rajasekar Department of Mathematics, Sudharsan College of Arts & Science, Pudukkottai-622104, Tamil Nadu, India.
R. Karthik Department of Mathematics, Sudharsan College of Arts & Science, Pudukkottai-622104, Tamil Nadu, India. https://orcid.org/0000-0002-7830-9863

Pages: 550-553
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

P. Bhattacharya, and B. K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29(3)(1987), 375-382.

E. Ekici, On a weaker form of RC-continuity, Analele Univ Vest Din Timisoara, Seria Mathematica-Informatica, XLII (fasc.1)(2004), 79-91.

M. Kamaraj, K. Kumaresan, O. Ravi and A. Pandi, $(1,2)^*-ddot{g}$-closed sets in bitopological spaces, International Journal of Advances in Pure and Applied Mathematics, 1(3)(2011), 98-111.

A. Pandi, Ph. D Thesis, Madurai Kamaraj University, $(2017)$.

R. Karthik and N. Rajasekar, Weakly $(1,2)^*-ddot{g}$-open and weakly $(1,2)^*-ddot{g}$-closed functions, Bulletin of the international mathematical virtual institute, $8(3)(2018), 487-496$.

N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96. ternational Journal of Computer Science and Emerging Technologies, 2(3)(2011), 330-337.

O. Ravi and M. L. Thivagar, On stronger forms of $(1,2)^*-$ quotient mappings in bitopological spaces, Int. J. Math. Game Theory and Algebra, 14(6)(2004), 481-492.

O. Ravi and M. L. Thivagar, A bitopological $(1,2)^*$-semigeneralized continuous maps, Bull. Malaysian Math. Sci. Soc., (2)(29)(1) (2006), 76-88.

O. Ravi, M. L. Thivagar and E. Ekici, Decomposition of $(1,2)^*$-continuity and complete $(1,2)^*$-continuity in bitopological spaces, Analele Universitatii Din Oradea. Fasc. Matematica Tom XV (2008), 29-37.

O. Ravi, M. L. Thivagar and Jinjinli, Remarks on extensions of $(1,2)^*$-g-closed mappings in bitopology, Archimedes J. Math, 1(2)(2011), 177-187.

O. Ravi, S. Pious Missier and T. Salai Parkunan, On bitopological $(1,2)^*$-generalized homeomorphisms, Int. J. Contemp. Math. Sciences, 5(11)(2010), 543-557.

O. Ravi, A. Pandi, S. Pious Missier and T. Salai Parkunan, Remarks on bitopological $(1,2)^*-r omega$ Homeomorphisms, International Journal of Mathematical Archive, 2(4)(2011), 465-475.

O. Ravi, M. Lellis Thivagar, K. Kayathri and M. Joseph Isreal, Mildly $(1,2)^*$-Normal spaces and some bitopological functions, Mathematica Bohemica, 135(1)(2010),113.