Common fixed point theorems for pairs of subcompatible maps.

Hakima Bouhadjera (1) , Christiane Godet-Thobie (1)

1 LM - Laboratoire de mathématiques de Brest

In this paper, we introduce the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibilty and reciprocal continuity. With them, we establish several common fixed point theorems which extend corresponding results of Jungck and Rhoades (2006), Djoudi and Nisse (2003) and Mbarki (2002).

Mots clés: Common fixed point; coincidence point; compatible and weakly compatible maps; occasionally compatible maps; subcompatible maps; subsequentially continuous maps.; subsequentially continuous maps

Domaines: Analyse fonctionnelle [math.FA]

Hakima Bouhadjera, Christiane Godet-Thobie. Common fixed point theorems for pairs of subcompatible maps.. 2008. ⟨hal-00356516v2⟩