A new notion of affine sets

Mathematical Analysis and its Contemporary Applications

دوره 2، شماره 1، تابستان 2020، صفحه 35-42  

نوع مقاله: Original Article

نویسندگان

Paulraj Gnanachandra ¹؛ Mohan Arunkumar²

¹Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi-626124, Tamil Nadu, India

²Department of Mathematics, Government Arts College, Tiruvannamalai-606 603, Tamil Nadu, India.

چکیده

In this paper, we investigate the behaviour of $e$-convex sets and $e$-affine sets. Moreover, some notions like $S(e,a,\rho,\alpha)$ and $e$-affine cones are introduced and discussed. We complete with a role of above sets in linear idempotent maps.

کلیدواژه‌ها

Affine sets؛ $e$-convex sets؛ $e$-cone؛ $e$-affine set