Browder-Tikhonov regularization for a class of evolution second order hemivariational inequalities

DOI10.1007/s10898-008-9380-0zbMath1207.49012OpenAlexW2055578548MaRDI QIDQ1037366

Yi-bin Xiao, Nan-Jing Huang

Publication date: 16 November 2009

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-008-9380-0

zbMATH Keywords

convergenceregularization methodevolution inclusionevolution hemivariational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Convergence and divergence of series and sequences of functions (40A30)

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Evolutionary quasi-variational-hemivariational inequalities. I: Existence and optimal control ⋮ Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets ⋮ Dynamic history-dependent hemivariational inequalities controlled by evolution equations with application to contact mechanics ⋮ Penalty and regularization method for variational‐hemivariational inequalities with application to frictional contact ⋮ Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality ⋮ Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces ⋮ A generalized penalty method for a new class of differential inequality system ⋮ Stability properties of the Tikhonov regularization for nonmonotone inclusions ⋮ Well-posedness for a class of variational-hemivariational inequalities with perturbations ⋮ Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces ⋮ A class of differential hemivariational inequalities in Banach spaces ⋮ Well-posedness by perturbations for variational-hemivariational inequalities ⋮ Generalized penalty method for elliptic variational-hemivariational inequalities ⋮ A system of evolutionary problems driven by a system of hemivariational inequalities ⋮ Regularization for a class of quasi-variational-hemivariational inequalities ⋮ Some equivalence results for well-posedness of hemivariational inequalities ⋮ A system of time-dependent hemivariational inequalities with Volterra integral terms

Cites Work

• Boundary hemivariational inequalities of hyperbolic type and applications
• The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities.
• Sub-supersolution method and extremal solutions for higher order quasi-linear elliptic hemi-variational inequalities
• Generalized quasi-variational-like hemivariational inequalities
• Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
• Existence results for evolution hemivariational inequalities of second order
• Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.
• Some convergence results for evolution hemivariational inequalities
• Vector quasi-hemivariational inequalities and discontinuous elliptic systems
• Coercive and semicoercive hemivariational inequalities
• Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
• Monotonicity methods for nonlinear evolution equations
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