Two New Versions of the Pasting Lemma via Soft Mixed Structure

Authors : Nihal TAŞ

Pages : 67-80

Doi:10.33401/fujma.1021120

View : 35 | Download : 10

Publication Date : 2022-06-01

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(\tau _{1},\tau _{2});$-$g$-closed soft set and a $insert ignore into journalissuearticles values(\tau _{1},\tau _{2});$-$gpr$% -closed soft set. We establish the notions of mixed $g$-soft continuity and mixed $gpr$-soft continuity between two soft topological spaces $insert ignore into journalissuearticles values(X,\tau _{1},\Delta _{1});$, $insert ignore into journalissuearticles values(X,\tau _{2},\Delta _{1});$ and a soft topological space $insert ignore into journalissuearticles values(X,\tau ,\Delta _{2});$. 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, au 1 au 2, g closed soft, au 1 au 2, gpr closed soft