Two New Versions of the Pasting Lemma via Soft Mixed Structure

Year 2022, Volume: 5 Issue: 2, 67 - 80, 01.06.2022

Nihal Taş

https://doi.org/10.33401/fujma.1021120

Abstract

In this paper, we present two new generalizations of the pasting lemma using soft mixed structure. To do this, we introduce the notions of a $(\tau _{1},\tau _{2})$-$g$-closed soft set and a $(\tau _{1},\tau _{2})$-$gpr$% -closed soft set. We establish the notions of mixed $g$-soft continuity and mixed $gpr$-soft continuity between two soft topological spaces $(X,\tau _{1},\Delta _{1})$, $(X,\tau _{2},\Delta _{1})$ and a soft topological space $(X,\tau ,\Delta _{2})$. Finally we prove two new versions of the pasting lemma using the mixed $g$-soft continuous mapping and the mixed $gpr$-soft continuous mapping.

Keywords

Pasting lemma , $(\tau _{1}\tau _{2})$-$g$-closed soft , $ (\tau _{1}\tau _{2})$-$gpr$-closed soft

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