Decompositions of continuity, alpha-continuity and AB-continuity

EKİCİ E., Noiri T.

CHAOS SOLITONS & FRACTALS, vol.41, no.4, pp.2055-2061, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.1016/j.chaos.2008.08.007
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2055-2061
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

The aim of this paper is to introduce the classes of alpha AB-sets, AC-sets and BC-sets which are weaker forms of AB-sets, AS-sets, S-sets and AC-sets, respectively. The relationships of between alpha AB-sets and the related sets and between AC-sets and BC-sets are discussed. By using alpha AB-sets, AC-sets, BC-sets and the related sets, new decompositions of alpha AB-continuity, alpha-continuity, continuity and AB-continuity are provided. (C) 2008 Elsevier Ltd. All rights reserved.