Results 1 to 10 of about 30 (23)

Tykhonov Triples and Convergence Results for Hemivariational Inequalities

Nonlinear Analysis: Modelling and Control, 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 ...
Yi-Bin Xiao, Mircea Sofonea
exaly   +7 more sources

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.
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 $\cC$.
Yi-Bin Xiao, Mircea Sofonea
exaly   +3 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 ) → C ( R + ; X ) ${\mathcal {S}:C(\mathbb{R}_{+};X)\to C(\mathbb{R}_{+};X)}$ is an almost history-dependent operator.
Mircea Sofonea
exaly   +2 more sources

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

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
doaj   +1 more source

Tykhonov triples and convergence analysis of an inclusion problem

, 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   +3 more sources

Generic well‐posedness in minimization problems

Abstract 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 Associated Well-Posedness Concept

Advances in Mechanics and Mathematics, 2023
Mircea Sofonea
exaly   +2 more sources

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

Technologies, 2021
Meir Shillor, Mircea Sofonea
exaly  

Reprint Of: Tykhonov Well-Posedness of a Rate-Type Viscoplastic Constitutive Law

Mechanics Research Communications, 2021
Mircea Sofonea
exaly