State-dependent implicit sweeping process in the framework of quasistatic evolution quasi-variational inequalities

DOI10.1007/s10957-018-1427-xzbMath1421.49008OpenAlexW2899110054MaRDI QIDQ2317838

Samir Adly, Tahar Haddad, Ba Khiet Le

Publication date: 13 August 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1427-x

zbMATH Keywords

unilateral constraintsquasistatic frictional contact problemsevolution variational inequalitiesMoreau's sweeping process

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Variational and other types of inclusions (47J22)

Related Items

A multivalued history-dependent operator and implicit evolution inclusions. II ⋮ On a time and state dependent maximal monotone operator coupled with a sweeping process with perturbations ⋮ Explicit and implicit non-convex sweeping processes in the space of absolutely continuous functions ⋮ Convergence of proximal solutions for evolution inclusions with time-dependent maximal monotone operators ⋮ On a second-order functional evolution problem with time and state dependent maximal monotone operators ⋮ A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems ⋮ Preface: Advances in theory and real world applications of control and dynamic optimization ⋮ Well-posedness of history/state-dependent implicit sweeping processes ⋮ Douglas-Rachford splitting algorithm for solving state-dependent maximal monotone inclusions ⋮ Implicit subdifferential inclusions with nonconvex-valued perturbations ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Second-order time and state-dependent sweeping process in Hilbert space ⋮ Second-Order Perturbed State-Dependent Sweeping Process with Subsmooth Sets

Cites Work

• Nonsmooth mechanics. Models, dynamics and control
• Unbounded second-order state-dependent Moreau's sweeping processes in Hilbert spaces
• State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces
• Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
• Complementarity and variational inequalities in electronics
• Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems
• A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics
• On semicoercive sweeping process with velocity constraint
• Models and analysis of quasistatic contact. Variational methods
• Variational inequalities with applications. A study of antiplane frictional contact problems
• A Variational Approach to Nonsmooth Dynamics
• Functional Analysis, Calculus of Variations and Optimal Control
• An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item