Mathematical Analysis and its Contemporary Applications

A new notion of affine sets

https://doi.org/10.30495/maca.2020.679857
Volume 2, Issue 1
Spring 2020
Pages 35-42
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Paulraj Gnanachandra 1
Mohan Arunkumar 2

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

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

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

Keywords

e-convex sets
e-cone
e-affine set
  • Receive Date 17 September 2020
  • Revise Date 10 November 2020
  • Accept Date 04 December 2020

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