Coincidence and fixed points for subsequentially continuous maps

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

1 LM - Laboratoire de mathématiques de Brest

We introduce the notions of F-subweak commutativity and F-subsequential continuity for a pair (f,F) of single and multivalued maps and using these notions, we give some new coincidence and fixed point theorems under contractive and strict contractive conditions. These results extend some recent results of Kamran and also Liu, Wu and Li .

Mots clés: Hybrid pairs of maps; Subsequentially (resp. F-subsequentially; f-subsequentially) continuous maps; F-subweakly commuting maps.; F-subweakly commuting maps

Domaines: Analyse fonctionnelle [math.FA]

Hakima Bouhadjera, Christiane Godet-Thobie. Coincidence and fixed points for subsequentially continuous maps. 2009. ⟨hal-00782474⟩