Multivalued operators and fixed-point theorems in Banach algebras. II
The author presents some versions of the Leray--Schauder alternative for multimaps which are the products of two multioperators in a Banach algebra, one of which is Lipschitzean and the other one compact. Some applications to the existence of solutions for differential inclusions under Lipschitz and Carathéodory conditions are given. [Part I appeared in Discuss. Math., Differ. Incl. Control Optim. 24, 97--122 (2004; Zbl 1078.47004).]
scientific article; zbMATH DE number 2173418
scientific article