Duality arguments for well-posedness of history-dependent variational inequalities
Electronic Journal of Differential Equations, 2022 In this article we introduce a concept of dual problems in metric spaces. Then we state and prove an equivalence result concerning their well-posedness with respect to appropriate Tykhonov triples.
Rong Hu, Mircea Sofonea
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The Worst-Case Weighted Multi-Objective Game with an Application to Supply Chain Competitions. [PDF]
PLoS One, 2016 Qu S, Ji Y.
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On the Tykhonov Well-Posedness of an Antiplane Shear Problem [PDF]
Mediterranean Journal of Mathematics, 2020 We consider a boundary value problem which describes the frictional antiplane shear of an elastic body. The process is static and friction is modeled with a slip-dependent version of Coulomb’s law of dry friction.
Mircea Sofonea +2 more
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Reprint of: Tykhonov well-posedness of a rate-type viscoplastic constitutive law
Mechanics Research Communications, 2021 We consider a rate-type constitutitve law given by an implicit nonlinear differential equation in the space of second order symmetric tensors on R d , in which the unknowns are the stress and the linearized strain fields.
Mircea Sofonea
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Tykhonov well-posedness of a rate-type viscoplastic constitutive law
Mechanics Research Communications, 2020 We consider a rate-type constitutitve law given by an implicit nonlinear differential equation in the space of second order symmetric tensors on R d , in which the unknowns are the stress and the linearized strain fields.
Mircea Sofonea
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A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities
Zeitschrift Fur Angewandte Mathematik Und Physik, 2020 In this paper, we introduce a new Tykhonov-type well-posedness concept for elliptic hemivariational inequalities, governed by an approximating function h. We characterize the well-posedness in terms of the metric properties of the family of approximating
Mircea Sofonea +2 more
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Tykhonov Triples and Associated Well-Posedness Concept
Advances in Mechanics and Mathematics, 2023Mircea Sofonea, Sofonea Mircea
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Well-Posedness of Minimization Problems in Contact Mechanics
Journal of Optimization Theory and Applications, 2021 We consider an abstract minimization problem in reflexive Banach spaces together with a specific family of approximating sets, constructed by perturbing the cost functional and the set of constraints.
Mircea Sofonea +2 more
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Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints
Technologies, 2021Mircea Sofonea +2 more
exaly
Tykhonov well-posedness of a mixed variational problem
Optimization, 2022Mircea Sofonea, Yi-Bin Xiao
exaly