CONTRA g*ωα-CONTINUOUS FUNCTIONS IN TOPOLOGICAL SPACES
P. G. PATIL *
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
S. S. BENCHALLI
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
PALLAVI S. MIRAJAKAR
Department of Mathematics, Karnatak University, Dharwad - 580 003, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce weaker forms of continuous functions called contra g*ωα-continuous and almost contra g*ωα-continuous functions using g*ωα-open sets in topological spaces. Various properties of such functions are discussed. We also discuss the relationships between this new class of functions with the other classes of functions.
Keywords: g*ωα-open sets, g*ωα-continuous, contra g*ωα-continuous and almost contra g*ωα-continuous functions