Solvability of a class of integral inclusions. (English) Zbl 1242.45002

Chen, Ying; Hong, Shihuang

Abstr. Appl. Anal. 2012, Article ID 213270, 12 p. (2012).

Summary: This paper presents sufficient conditions for the existence of positive solutions for a class of integral inclusions. Our results are obtained via a new fixed point theorem for multivalued operators developed in the paper, in which some nonnegative function is used to describe the cone expansion and compression instead of the classical norm-type, and lead to new existence principles.

MSC:

45G10	Other nonlinear integral equations
45M20	Positive solutions of integral equations

Keywords:

positive solutions; fixed point theorem; multivalued operators; integral inclusions; cone expansion; compression

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