The aim of this lecture is to present a new compactness method for operator inclusions in general, and for Hammerstein like inclusions, in particular. This method applies to acyclic multivalued maps which satisfy a generalized compactness condition of Monch type.
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Multivalued map; acyclic map; Hammerstein operator; operator inclusion; compactness; fixed point.
R. Precup, Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type, Seminar on Fixed Point Theory Cluj-Napoca, 3 (2002), 327-334.
About this paper
Seminar on Fixed Point Theory Cluj-Napoca, Volume 3, 2002, 327-334
University ”Babeș-Bolyai”, Cluj-Napoca, Romania
MR 1929778, Zbl 1043.47037.
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