Properties of one-sided Lipschitz multivalued maps

DOI10.1016/S0362-546X(00)00244-3zbMath1004.34049WikidataQ127408938 ScholiaQ127408938MaRDI QIDQ1348727

Tzanko Donchev

Publication date: 23 January 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

fixed pointsdifferential inclusionsone-sided Lipschitz multifunctionssurjective multimaps

Mathematics Subject Classification ID

Evolution inclusions (34G25)

Related Items (8)

Localized Solvability of Relaxed One-Sided Lipschitz Inclusions in Hilbert Spaces ⋮ Periodic solutions for semi-linear evolution inclusions ⋮ Fixed set iterations for relaxed Lipschitz multimaps. ⋮ A Filippov approximation theorem for strengthened one-sided Lipschitz differential inclusions ⋮ An implicit function theorem for one-sided Lipschitz mappings ⋮ Explicit formula for preimages of relaxed one-sided Lipschitz mappings with negative Lipschitz constants: a geometric approach ⋮ Semilinear parabolic differential inclusions with one-sided Lipschitz nonlinearities ⋮ Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions

Cites Work

• Nonlinear evolution operators and semigroups. Applications to partial differential equations
• Regular and singular perturbations of upper semicontinuous differential inclusions
• Fixed points and equilibria in nonconvex sets
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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