Common fixed point theorems for occasionally weakly compatible maps.

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

1 LM - Laboratoire de mathématiques de Brest

In this paper, we establish a common fixed point theorem for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our result extends many results existing in the literature as those of Aliouche and Popa [15-20]. Also we establish another common fixed point theorem for four owc single and set-valued maps of Gregu% \v{s} type which generalizes the results of Djoudi and Nisse , Pathak , Cho, Kang and Madharia and we end our work by giving a third theorem which extends the results given by Elamrani \& Mehdaoui \and Mbarki.

Mots clés: Occasionally weakly compatible map; weakly compatible; compatible and compatible maps of type A; C and P; common fixed point theorem; strict contractive condition

Domaines: Analyse fonctionnelle [math.FA]

Hakima Bouhadjera, Christiane Godet-Thobie. Common fixed point theorems for occasionally weakly compatible maps.. 2008. ⟨hal-00273238v1⟩