An invariance of domain result for multi-valued maximal monotone operators whose domains do not necessarily contain any open sets
DOI10.1090/S0002-9939-97-03739-8zbMath0871.47044OpenAlexW1944836530MaRDI QIDQ4336607
Publication date: 13 May 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03739-8
maximal monotone operatormulti-valued mappingscompact perturbationpathwise connected setinvariance of domainexistence of zeros
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)
Related Items (3)
Cites Work
- The ranges of nonlinear mappings of monotone type
- Ranges of operators of monotone type in Banach space
- The degree of mapping, and its generalizations
- On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces
- On Compact Perturbations and Compact Resolvents of Nonlinear m-Accretive Operators in Banach Spaces
- Sets in the Ranges of Sums for Perturbations of Nonlinear m-Accretive Operators in Banach Spaces
- Ranges of Perturbed Maximal Monotone and m-Accretive Operators in Banach Spaces
- New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
- Perturbations of nonlinear maximal monotone sets in banach space
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