On optimal control in a nonlinear interface problem described by hemivariational inequalities
Advances in Nonlinear AnalysisThis article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
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Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Advances in Nonlinear Analysis, 2018 This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando +2 more
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Halpern-type proximal point algorithm in complete CAT(0) metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
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BV-norm continuity of sweeping processes driven by a set with constant shape
, 2016 We prove the BV-norm well posedness of sweeping processes driven by a moving convex set with constant shape, namely the BV-norm continuity of the so-called play operator of elasto-plasticity.Comment: Minor corrections.
Kopfová, Jana, Recupero, Vincenzo
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Existence of projected solutions for quasi-variational hemivariational inequality
Demonstratio MathematicaIn this short article, we prove the existence of projected solutions to a class of quasi-variational hemivariational inequalities with non-self-constrained mapping, which generalizes the results of Allevi et al.
Guan Fei +3 more
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Demonstratio MathematicaThis study examines a contact problem involving viscoelastic materials interacting with a rigid foundation. The constitutive relationship is derived from a time-fractional Kelvin–Voigt model.
Su Guangwang +3 more
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Duality theory and optimal transport for sand piles growing in a silos [PDF]
, 2014 We prove existence and uniqueness of solutions for a system of PDEs which describes the growth of a sandpile in a silos with flat bottom under the action of a vertical, measure source.
De Pascale, Luigi, Jimenez, Chloé
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Nonhomogeneous Hemivariational Inequalities with Indefinite Potential and Robin Boundary Condition
, 2017 We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand.
Papageorgiou, Nikolaos S. +2 more
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Solution for the system of generalized nonlinear mixed variational inequality problems
Demonstratio MathematicaWe propose in this paper a class of generalized nonlinear mixed variational inequality problems on Banach spaces, which is composed of three elliptic generalized nonlinear mixed variational inequality problems.
Gissy Hussain +2 more
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Analysis of an evolutionary fractional hemivariational inequality with applications
Demonstratio MathematicaThis paper investigates a novel abstract system that includes a fractional differential equation of the Atangana-Baleanu type and a history-dependent evolutionary hemivariational inequality (AB-FDEHI).
Su Guangwang +3 more
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