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Zbl 0595.47041
Morales, Claudio H.
Surjectivity theorems for multivalued mappings of accretive type. (English)
[J] Commentat. Math. Univ. Carol. 26, 397-413 (1985). ISSN 0010-2628

Some surjectivity results for a class of expansive m-accretive multivalued maps acting on a subset of a Banach space with uniformly convex dual are given. The obtained statements represent a generalization of the ones due to {\it A. G. Kartsatos} [J. Math. Anal. Appl. 82, 169- 183 (1981; Zbl 0466.47035)] from a methodological viewpoint, especially. As application, a multivalued version of {\it K. Deimling}'s domain invariance theorem [Manuscr. Math. 13, 365-374 (1974; Zbl 0288.47047)] is formulated.
[M.Turinici]

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H06 Accretive operators, etc. (nonlinear)

Keywords: multivalued version of Deimling's domain invariance theorem; fixed; point property; surjectivity; expansive m-accretive multivalued maps acting on a subset of a; Banach space with uniformly convex dual; expansive m- accretive multivalued maps acting on a subset of a Banach space with uniformly convex dual

Citations: Zbl 0466.47035; Zbl 0288.47047

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