Some fixed points theorems of the Leray-Schauder type for multivalued mappings

Abdul-Majeed Al-Izeri (1) , Khalid Latrach (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

In this note, we establish some fixed point theorems of the Leray-Schauder type for upper semicontinuous and weakly sequentially upper semicontinuous multivalued mappings in Banach spaces. The cases of condensing and nonexpansive multivalued maps were also considered.

Mots clés: Fixed point theorems upper semicontinuous and weakly sequentially upper semicontinuous multivalued mappings measure of weak noncompactness condensing and nonexpansive multivalued maps MSC Classification: 47H10 47H04; Fixed point theorems; upper semicontinuous and weakly sequentially upper semicontinuous multivalued mappings; measure of weak noncompactness; condensing and nonexpansive multivalued maps MSC Classification: 47H10

Domaines: Mathématiques [math]

Abdul-Majeed Al-Izeri, Khalid Latrach. Some fixed points theorems of the Leray-Schauder type for multivalued mappings. Bulletin of the Iranian Mathematical Society, In press. ⟨hal-04693982⟩