Strongly NA – Continuous Mappings

Vinshu^1,*, Dr. Bhopal Singh Sharma² and Arvind Kumar³

^1,*Research Scholar, Department of Mathematics, N.R.E.C. College, Khurja, UP, India.

²Associate Professor, Department of Mathematics, N.R.E.C. College, Khurja, UP, India.

³Research Scholar, Department of Mathematics, University of Delhi, Delhi, India.

This paper introduces a new class of mappings, namely, strongly na-continuous mappings. This class lies properly between the class of super I-continuous mappings and the class of strongly continuous mappings due to Levine. Some characterizations and basic properties of these mappings are obtained. The relationships among these mappings and some other stronger forms of continuity are also investigated.

Keywords: θ – closure, semi-open, semi-interior, strongly na-continuous and feebly open.

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