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.
"Solvability of a Class of Integral Inclusions." Abstr. Appl. Anal. 2012 (SI12) 1 - 12, 2012. https://doi.org/10.1155/2012/213270