On Some Fixed Point Theorems for 1-Set Weakly Contractive Multi-Valued Mappings with Weakly Sequentially Closed Graph

Afif Ben Amar, Aneta Sikorska-Nowak
DOI: 10.4236/apm.2011.14030                

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.

Keywords

Measures of Weak Noncompactness, Weakly Condensing, Weakly Nonexpansive

Conflicts of Interest

The authors declare no conflicts of interest.

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