Results 1 to 10 of about 71 (52)
Tykhonov well-posedness of split problems [PDF]
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139β157, 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.
Mircea Sofonea +2 more
exaly +5 more sources
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 ) β C ( R + ; X ) ${\mathcal {S}:C(\mathbb{R}_{+};X)\to C(\mathbb{R}_{+};X)}$ is an almost history-dependent operator.
Mircea Sofonea, Sofonea Mircea
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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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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 +2 more
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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality π 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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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.
Mircea Sofonea +2 more
exaly +3 more sources
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
exaly +2 more sources
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
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 $\cC$.
Xiao, Yi-Bin, Sofonea, Mircea
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Tykhonov triples and convergence results for history-dependent variational inequalities [PDF]
ITM Web of Conferences, 2020 We deal with the Tykhonov well-posedness of a time-dependent variational inequality deο¬ned on the unbounded interval of time β+ = [0, +β ), governed by a history-dependent operator.
Sofonea Mircea
doaj +1 more source