gβ^-Continuous Maps in Topological Spaces

K. Alli 1 and M. Arline Jeyamary2*

1Assistant Professor, Department of Mathematics, The M.D.T. Hindu College, Tirunelveli-627 010, Tamil Nadu, INDIA. 2*Assistant Professor, Department of Mathematics, Manonmaniam Sundaranar University College, Govindaperi, Tirunelveli-627 414, Tamil Nadu, INDIA. email: 1allimdt@gmail.com, 2*arlinebeno@gmail.com(mob:9751819631) (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli, Tamil Nadu, INDIA).

DOI : http://dx.doi.org/10.29055/jcms/983


The aim of this paper is to introduce gβ^-continuous map, gβ^-irresolute map in topological spaces. The inter relationships of these newly introduced functions with various functions are analysed and the dependence links with the other existing functions are discussed. Composition of two gβ^-continuous functions and composition of two gβ^-irresolute functions are also studied in this paper.

Keywords :gβ^-continuous map, gβ^-irresolute map.

map1 map2 map3