ON (i, j) SUPRA R-OPEN SETS AND THEIR APPLICATIONS
Keywords:
Supra bitopological spaces, (i,j) supra R-open sets, (i,j) supra R-closed sets, (i, j) supra R-open (R-closed, R-continuous) mapsAbstract
This study aims to introduce the (i,j) supra R-open set in supra bitopological spaces as a generalisation of supra R-open sets in supra topological spaces and investigate their main properties. The (i,j) supra R-open sets are introduced and their fundamental properties and applications in supra bitopological spaces are presented. Afterwards, the study explores the notions of (i,j) supra R-continuous, (i,j) supra R*-continuous and (i,j) supra R-irresolute maps, and investigates their main properties and relationships. After that, the study examines the concepts of (i,j) supra R-open and (i,j) supra R-closed maps and investigates their relationships with other maps, such as (i,j) supra R-continuous (i,j) supra R*-continuous, (i,j) supra R-irresolute) maps. Finally, the notion of (i,j) supra R-homeomorphism is formulated and descriptions for each type are provided. The main properties of these maps are studied, and their relationships are illustrated through several examples.
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