Author(s)

Afif Ben Amar, Aneta Sikorska-Nowak

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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.

Measures of Weak Noncompactness, Weakly Condensing, Weakly Nonexpansive

A. Amar and A. Sikorska-Nowak, "On Some Fixed Point Theorems for 1-Set Weakly Contractive Multi-Valued Mappings with Weakly Sequentially Closed Graph," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 163-169. doi: 10.4236/apm.2011.14030.