Results 11 to 20 of about 25,286 (62)
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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Tykhonov well-posedness of a heat transfer problem with unilateral constraints [PDF]
Applications of Mathematics, 2021 We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain D ⊂ ℝ d and its weak formulation is in the form of a hemivariational inequality for ...
M. Sofonea, D. Tarzia
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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 ...
Yi-bin Xiao, M. Sofonea
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Tykhonov well-posedness of a viscoplastic contact problem†
Evolution Equations & Control Theory, 2020 We consider an initial and boundary value problem \begin{document}$ {{\mathcal{P}}} $\end{document} which describes the frictionless contact of a viscoplastic body with an obstacle made of a rigid body covered by a layer of elastic material.
M. Sofonea, Yi-bin Xiao
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Tykhonov well-posedness of a mixed variational problem
Optimization, 2020 We consider a mixed variational problem governed by a nonlinear operator and a set of constraints. Existence, uniqueness and convergence results for this problem have already been obtained in the literature.
Dong-ling Cai, M. Sofonea, Yi-bin Xiao
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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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On a Tykhonov well-posedness and convergence result
Acta Universitatis Sapientiae, MathematicaJustyna Ogorzały
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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 defined on the unbounded interval of time ℝ+ = [0, +∞ ), governed by a history-dependent operator.
Sofonea Mircea
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