Some new types of soft $b$-ordered mappings -by M. E. El-Shafei and T. M. Al-shami

# Some new types of soft $b$-ordered mappings-by M. E. El-Shafei and T. M. Al-shami

Abstract: In [14] and [15], we introduced and studied the concepts of soft topological ordered spaces and some soft ordered maps, respectively. To contribute on these topics, we employ a notion of soft $b$-open sets to propose newly soft ordered maps, that consequently generalize existing comparable notions, namely soft $xb$-continuous, soft $xb$-open, soft $xb$-closed and soft $xb$-homeomorphism maps, where $x\in\{I, D, B\}$. We construct some examples to elucidate the relationships among them and discuss the necessary and sufficient conditions for each one of them. Additionally, we present the counterparts of these soft ordered maps on topological ordered spaces and investigate the links between them and the soft ordered maps initiated herein.

Keywords: soft $I(D, B) b$-continuous map, soft $I(D, B) b$-open map and soft $I(D, B) b$-homeomorphism map.

M. E. El-Shafei and T. M. Al-shami, Some new types of soft $b$-ordered mappings, International Journal of Advances in Mathematics, Volume 2019, Number 3, Pages 1-14, 2019.