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Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 The concept of well‐posedness for a minimization problem is extended to develop the concept of well‐posedness for a class of strongly mixed variational‐hemivariational inequalities with perturbations which includes as a special case the class of variational‐hemivariational inequalities with perturbations.
Lu-Chuan Ceng +3 more
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Well‐Posedness by Perturbations for Variational‐Hemivariational Inequalities
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 We generalize the concept of well‐posedness by perturbations for optimization problem to a class of variational‐hemivariational inequalities. We establish some metric characterizations of the well‐posedness by perturbations for the variational‐hemivariational inequality and prove their equivalence between the well‐posedness by perturbations for the ...
Shu Lv +4 more
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α‐Well‐Posedness for Mixed Quasi Variational‐Like Inequality Problems
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 The concepts of α‐well‐posedness, α‐well‐posedness in the generalized sense, L‐α‐well‐posedness and L‐α‐well‐posedness in the generalized sense for mixed quasi variational‐like inequality problems are investigated. We present some metric characterizations for these well‐posednesses.
Jian-Wen Peng, Jing Tang, V. Zeidan
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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
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Directional Tykhonov well-posedness for optimization problems and variational inequalities
, 2023 By using the so-called minimal time function, we propose and study a novel notion of directional Tykhonov well-posedness for optimization problems, which is an extension of the widely acknowledged notion of Tykhonov. In this way, we first provide some characterizations of this notion in terms of the diameter of level sets and admissible functions. Then,
Hoang, Vo Ke, Long, Vo Si Trong
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Fixed Point Theory and Applications, 2014 The conceptions of (generalized) Tykhonov well-posedness for generalized vector quasi-equilibrium problems, (generalized) Hadamard well-posedness for parametrically generalized vector quasi-equilibrium problems and (generalized) Tykhonov well-posedness ...
De-ning Qu, Cao-zong Cheng
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, 2006 Abstract and Applied Analysis, Volume 2006, Issue 1, 2006.
Dan Butnariu, Elena Resmerita
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Tykhonov well-posedness of elliptic variational-hemivariational inequalities
Electronic Journal of Differential Equations, 2019 We consider a class of elliptic variational-hemivariational inequalities in an abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.
Mircea Sofonea, Yi-Bin Xiao
doaj
Metric characterizations for well-posedness of split hemivariational inequalities. [PDF]
J Inequal Appl, 2018 Shu QY, Hu R, Xiao YB.
europepmc +1 more source
TYKHONOV WELL-POSEDNESS OF A VISCOPLASTIC CONTACT PROBLEM
We consider an initial and boundary value problem P which describes the frictionless contact of a viscoplastic body with an obstacle made of a rigid body covered by a layer of elastic material. The process is quasistatic and the time of interest is R+ = [0;+1).
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