Description

• Title:
  Absolute retractivity of the common fixed points set of two multifunctions
• Creator:
  Afshari, Hojat;
  Rezapour, Shahram;
  Shahzad, Naseer
• Description:
  In 1970, Schirmer discussed about topological properties of the fixed point set of multifunctions ([< i> Properties of the fixed point set of contractive multifunctions< /i> , Canad. Math. Bull. < b> 13< /b> (1970), 169-173]). Later, some authors continued this study by providing different conditions ([M.C. Alicu and O. Mark, < i> Some properties of the fixed points set for multifunctions< /i> , Studia Univ. Babes-Bolyai Math. < b> 25< /b> (1980), 77-79] and [B. Ricceri,< i> Une propriete topologique de l'ensemble des points fixes d'une contraction multivoque a valeurs convexes< /i> , Atti. Acc. Lincei Rend. < b> 81< /b> (1987), 283-286]). Recently, Sintamarian proved results on absolute retractivity of the common fixed points set of two multivalued operators ([< i> A topological property of the common fixed points set of two multivalued operators< /i> , Nonlinear Anal. < b> 70< /b> (2009), 452-456] and [< i> A topological property of the common fixed points set of two multivalued operators satisfying a Latif-Beg type condition< /i> , Fixed Point Theory < b> 9< /b> (2008), 561-573]). We shall present some results on absolute retractivity of the common fixed points set of two multifunctions by using different conditions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 40, No 2 (December 2012); 429 - 436;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.040/8390
• Subject:
  Absolute retract;
  common fixed point;
  multifunction;
  47H04;
  47H10 54H25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.040
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other