TITLE:
On Some Fixed Point Theorems for 1-Set Weakly Contractive Multi-Valued Mappings with Weakly Sequentially Closed Graph
AUTHORS:
Afif Ben Amar, Aneta Sikorska-Nowak
KEYWORDS:
Measures of Weak Noncompactness, Weakly Condensing, Weakly Nonexpansive
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
28,
2011
ABSTRACT: In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly sequentially closed maps and are very important in applications, mainly for the investigating of boundary value problems on noncompact intervals.