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Open AccessTykhonov well-posedness of fixed point problems in contact mechanics
We consider a fixed point problem S u = u ...
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Article
Open AccessHistory-dependent operators and prox-regular swee** processes
We consider an abstract inclusion in a real Hilbert space, governed by an almost history-dependent operator and a time-dependent multimap** with prox-regular values. We establish the unique solvability of th...
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Article
Open AccessTykhonov well-posedness of split problems
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 t...
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Open AccessA Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces
We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality in the class is governed by a nonlinear operator, a convex set of constraints and two nondiff...
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Open AccessModeling and analysis of a contact problem for a viscoelastic rod
We consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanica...
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A class of history-dependent variational-hemivariational inequalities
We consider a new class of variational-hemivariational inequalities which arise in the study of quasistatic models of contact. The novelty lies in the special structure of these inequalities, since each inequa...
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Article
Open AccessHistory-Dependent Problems with Applications to Contact Models for Elastic Beams
We prove an existence and uniqueness result for a class of subdifferential inclusions which involve a history-dependent operator. Then we specialize this result in the study of a class of history-dependent hem...
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Chapter and Conference Paper
A Multivalued Variational Inequality with Unilateral Constraints
The present paper represents a continuation of [3]. There, we studied a new class of variational inequalities involving a pseudomonotone univalued operator and a multivalued operator, for which we obtained an exi...
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Open AccessViscoelastic frictionless contact problems with adhesion
We consider two quasistatic frictionless contact problems for viscoelastic bodies with long memory. In the first problem the contact is modelled with Signorini's conditions and in the second one is modelled wi...
