Existence results of nonconvex differential inclusions

zbMath1022.34007MaRDI QIDQ701339

Messaoud Bounkhel

Publication date: 22 October 2003

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50351

zbMATH Keywords

Clarke subdifferentialsweeping processdirectional regularityFréchet normal regularitynonconvex-valued differential inclusionsviable solutions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Ordinary differential inclusions (34A60) Evolution inclusions (34G25)

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The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities ⋮ Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities ⋮ Projection method approach for general regularized non-convex variational inequalities ⋮ Second-order viability problems with perturbation in Hilbert spaces ⋮ Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities ⋮ Predictor-corrector methods for general regularized nonconvex variational inequalities ⋮ Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities ⋮ Proximal analysis in reflexive smooth Banach spaces ⋮ A non-convex setup for multivalued differential equations driven by oblique subgradients ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

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