Regular mildly generalized closed and regular mildly generalized open sets in bitopological spaces

Abstract

The aim of this paper is to introduced the concept of (τi,τj)-Regular Mildly Generalized (briefly (τi,τj) -RMG) closed and (τi,τj) -Regular Mildly Generalized (briefly (τi,τj) -RMG) open sets and study their basic properties in bitopological spaces. Further we define and study new neighborhood namely (τi,τj) -Regular Mildly Generalized (briefly (τi,τj) -RMG-nhd), (τi,τj) -Regular Mildly Generalized (briefly (τi,τj) -RMG-closure) closure and (τi,τj) -Regular Mildly Generalized (briefly (τi,τj) -RMG-interior) interior and discuss some of their properties in bitopological spaces. Also give some characterizations and applications of it. Mathematics Subject Classification 2010: 54C08, 54C010, 54C20