Some Types of Mappings in Bitopological Spaces

Abstract

This work, introduces some concepts in bitopological spaces, which are nm-j-ω-converges to a subset, nm-j-ω-directed toward a set, nm-j-ω-closed mappings, nm-j-ω-rigid set, and nm-j-ω-continuous mappings. The mainline idea in this paper is nm-j-ω-perfect mappings in bitopological spaces such that n = 1,2 and m =1,2 n ≠ m. Characterizations concerning these concepts and several theorems are studied, where j = q , δ, a , pre, b, b.

Keywords

• Keywords. Filter base, nm- j-ω-converges, nm- j-ω-directed toward a set, nm- j-ω- closed mappings, j-ω- continuous mappings, j-ω-rigid a set, nm- j-ω-perfect mappings.