Results 1 to 10 of about 31 (28)

Tykhonov triples and convergence results for history-dependent variational inequalities [PDF]

open access: yesITM 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
doaj   +3 more sources

Tykhonov triples and convergence results for hemivariational inequalities

open access: yesNonlinear Analysis, 2021
Consider an abstract Problem P in a metric space (X; d) assumed to have a unique solution u. The aim of this paper is to compare two convergence results u'n → u and u''n → u, both in X, and to construct a relevant example of convergence result un → u ...
Rong Hu, Mircea Sofonea, Yi-Bin Xiao
doaj   +4 more sources

Tykhonov well-posedness of fixed point problems in contact mechanics

open access: yesFixed 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
doaj   +2 more sources

Tykhonov triples, well-posedness and convergence results [PDF]

open access: yesCarpathian 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
openaire   +2 more sources

Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints

open access: yesTechnologies, 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
doaj   +1 more source

Generic well‐posedness in minimization problems

open access: yesAbstract and Applied Analysis, Volume 2005, Issue 4, Page 343-360, 2005., 2005
The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well‐posed? We will consider several ways to define the concept of “how many,” and also several types of well‐posedness concepts.
A. Ioffe, R. E. Lucchetti
wiley   +1 more source

Tykhonov triples and convergence analysis of an inclusion problem

open access: yes, 2022
We consider an inclusion problem governed by a strongly monotone Lipschitz continuous operator de ned on a real Hilbert space. We list the assumption on the data and recall the existence of a unique solution to the problem. Then we introduce several Tykhonov triples, compare them and prove the corresponding well-posedness results.
openaire   +2 more sources

Search for metastable heavy charged particles with large ionisation energy loss in pp collisions at [Formula: see text] TeV using the ATLAS experiment. [PDF]

open access: yesEur Phys J C Part Fields, 2015
ATLAS Collaboration   +2851 more
europepmc   +1 more source
Some of the next articles are maybe not open access.

Tykhonov Well-Posedness and Convergence Results for Contact Problems with Unilateral Constraints

Technologies, 2021
Meir Shillor   +2 more
exaly  

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