Results 1 to 10 of about 61 (40)
Tykhonov well-posedness of split problems [PDF]
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
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Tykhonov well-posedness of fixed point problems in contact mechanics
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 We consider a fixed point problem S u = u $\mathcal {S}u=u$ where S : C ( R + ; X ) → C ( R + ; X ) ${\mathcal {S}:C(\mathbb{R}_{+};X)\to C(\mathbb{R}_{+};X)}$ is an almost history-dependent operator.
Mircea Sofonea
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Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints [PDF]
Technologies, 2020 This work presents a unified approach to the analysis of contact problems with various interface laws that model the processes involved in contact between a deformable body and a rigid or reactive foundation.
Mircea Sofonea, Meir Shillor
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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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Tykhonov Triples, Well-Posedness and Convergence Results [PDF]
Carpathian Journal of Mathematics, 2021 "In this paper we present a unified theory of convergence results in the study of abstract problems. To this end we introduce a new mathematical object, the so-called Tykhonov triple $\cT=(I,\Omega,\cC)$, constructed by using a set of parameters $I$, a multivalued function $\Omega$ and a set of sequences $\cC$.
Yi-Bin Xiao, Mircea Sofonea
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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. The weak formulation of the problem is in the form of a quasivariational inequality for the displacement field, denoted by $\cP$.
Domingo A Tarzia, Mircea Sofonea
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On the Well-Posedness Concept in the Sense of Tykhonov
Journal of Optimization Theory and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Bin Xiao, Mircea Sofonea
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Reprint Of: Tykhonov Well-Posedness of a Rate-Type Viscoplastic Constitutive Law
Mechanics Research Communications, 2021 Abstract 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. We list the assumptions on the constitutive functions then we state and prove its well-posedness with respect
Mircea Sofonea
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Tykhonov Well-Posedness of a Viscoplastic Contact Problem
Evolution Equations and Control Theory, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Bin Xiao, Mircea Sofonea
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Tykhonov Well-Posedness of a Rate-Type Viscoplastic Constitutive Law
Mechanics Research Communications, 2020 Abstract 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. We list the assumptions on the constitutive functions then we state and prove its well-posedness with respect
Mircea Sofonea
exaly +5 more sources