From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems
DOI10.1186/s13663-022-00712-zOpenAlexW4210616816MaRDI QIDQ2138464
Publication date: 12 May 2022
Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-022-00712-z
unilateral contact problemhemivariational inequalitypseudomonotone bifunctionextended real-valued equilibrianon-monotone friction
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Existence of solutions of equilibrium problems in solid mechanics (74G22)
Cites Work
- Mixed equilibrium problems and anti-periodic solutions for nonlinear evolution equations
- Nonconvex bundle method with application to a delamination problem
- Evolution of the 1984 KKM theorem of Ky Fan
- Variational inequalities and frictional contact problems
- Numerical solution of an adhesion problem with FEM and BEM
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- A study of regularization techniques of nondifferentiable optimization in view of application to hemivariational inequalities
- A class of dynamic contact problems with Coulomb friction in viscoelasticity
- Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
- An extension lemma and homogeneous programming
- A generalization of Tychonoff's fixed point theorem
- Generalization of Ky Fan's minimax inequality with applications to generalized variational inequalities for pseudo-monotone operators and fixed point theorems
- Variational and hemivariational inequalities: theory, methods and applications. Vol. I: Unilateral analysis and unilateral mechanics
- Generalized variational-like inequalities with pseudomonotone set-valued mappings
- Models and analysis of quasistatic contact. Variational methods
- General KKM theorem with applications to minimax and variational inequalities
- The Tikhonov regularization for equilibrium problems and applications to quasi-hemivariational inequalities
- Coupling regularization and adaptive \(hp\)-BEM for the solution of a delamination problem
- On some non-linear elliptic differential functional equations
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- From solvability and approximation of variational inequalities to solution of nondifferentiable optimization problems in contact mechanics
- Mathematical Models in Contact Mechanics
- On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem
- Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution
- Optimization and nonsmooth analysis
- Some existence results for coercive and noncoercive hemivariational inequalities
- On fixed points and variational inequalities—a circular tour
- A note on pseudomonotone functions, regularization, and relaxed coerciveness
- Nonlinear Analysis - Theory and Methods
- Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
- ON THE UNIFICATION OF THE CALCULUS OF VARIATIONS AND THE THEORY OF MONOTONE NONLINEAR OPERATORS IN BANACH SPACES
- On the generalization of a direct method of the calculus of variations
- Coercivity Conditions in Nonlinear Complementarity Problems
- On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities
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