Pair-wise continuity in soft bitopological ordered spaces
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This paper extends soft bitopological spaces to soft bitopological ordered spaces by introducing and analyzing properties of increasing (decreasing, balancing) soft pairwise continuous (open, closed, homeomorphism) maps, denoted as $xSP$-continuous (open, closed, homeomorphism) maps, where $x$ can take values $I$, $D$, or $B$. The investigation explores the interrelationships among these concepts, establishing equivalent conditions for each. Additionally, the study offers a comparative analysis of these notions. This research aims to contribute to the advancement of soft bitopological ordered spaces by providing a comprehensive understanding of their fundamental properties and relationships, paving the way for further exploration and applications in the field.
Abstract
This paper extends soft bitopological spaces to soft bitopological ordered spaces by introducing and analyzing properties of increasing (decreasing, balancing) soft pairwise continuous (open, closed, homeomorphism) maps, denoted as $xSP$-continuous (open, closed, homeomorphism) maps, where $x$ can take values $I$, $D$, or $B$. The investigation explores the interrelationships among these concepts, establishing equivalent conditions for each. Additionally, the study offers a comparative analysis of these notions. This research aims to contribute to the advancement of soft bitopological ordered spaces by providing a comprehensive understanding of their fundamental properties and relationships, paving the way for further exploration and applications in the field.
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