A Tykhonov-Type Well-Posedness Concept for Elliptic Hemivariational Inequalities
Zeitschrift Fur Angewandte Mathematik Und Physik, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Bin Xiao, Mircea Sofonea
exaly +3 more sources
Duality arguments for well-posedness of history-dependent variational inequalities [PDF]
Electronic Journal of Differential Equations, 2022 In this article we introduce a concept of dual problems in metric spaces. Then we state and prove an equivalence result concerning their well-posedness with respect to appropriate Tykhonov triples.
Rong Hu, Mircea Sofonea
doaj +4 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.
Sofonea Mircea
doaj +2 more sources
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.
Cai, Dong-Ling +2 more
core +4 more sources
Tykhonov well-posedness of elliptic variational-hemivariational inequalities [PDF]
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 +3 more sources
α‐Well‐Posedness for Mixed Quasi Variational‐Like Inequality Problems [PDF]
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
wiley +2 more sources
Tykhonov well-posedness of a heat transfer problem with unilateral constraints [PDF]
Applications of Mathematics, 2021 28 pages.
Sofonea, Mircea, Tarzia, Domingo
openaire +5 more sources
On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We introduce a new concept of Hadamard well‐posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well‐posedness and Hadamard well‐posedness for a generalized mixed variational inequality are studied.
Lu-Chuan Ceng +6 more
wiley +1 more source
Tykhonov triples and convergence results for hemivariational inequalities
Nonlinear 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 +1 more source
Directional Tykhonov well-posedness for optimization problems and variational inequalities [PDF]
, 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.
Long, Vo Si Trong, Hoang, Vo Ke
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