Results 11 to 20 of about 71 (52)
Tykhonov well-posedness of a heat transfer problem with unilateral constraints [PDF]
Applications of Mathematics, 2021 28 pages.
Sofonea, Mircea, Tarzia, Domingo A.
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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
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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
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Tykhonov well-posedness of a viscoplastic contact problem
Evolution Equations & Control Theory, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sofonea, Mircea, Xiao, Yi-bin
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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
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Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We introduce and study well‐posedness in connection with the symmetric vector quasi‐equilibrium problem, which unifies its Hadamard and Levitin‐Polyak well‐posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well‐posedness for the symmetric vector quasi‐equilibrium problem.
Wei-bing Zhang +3 more
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Levitin‐Polyak Well‐Posedness of an Equilibrium‐Like Problem in Banach Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The concept of Levitin‐Polyak well‐posedness of an equilibrium‐like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin‐Polyak well‐posedness are established. Some conditions under which an equilibrium‐like problem in Banach spaces is Levitin‐Polyak well‐posed are also derived.
Ru-liang Deng, Qing-bang Zhang
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Existence and Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 An existence result for the solution set of symmetric vector quasi‐equilibrium problems that allows for discontinuities is obtained. Moreover, sufficient conditions for the generalized Levitin‐Polyak well‐posedness of symmetric vector quasi‐equilibrium problems are established.
Kaihong Wang +3 more
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Well‐Posedness and Primal‐Dual Analysis of Some Convex Separable Optimization Problems
Advances in Operations Research, Volume 2013, Issue 1, 2013., 2013 We focus on some convex separable optimization problems, considered by the author in previous papers, for which problems, necessary and sufficient conditions or sufficient conditions have been proved, and convergent algorithms of polynomial computational complexity have been proposed for solving these problems.
Stefan M. Stefanov, Hsien-Chung Wu
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A New Notion of Tykhonov Well-Posedness for Optimization Problems
, 2023 Building upon the minimal time function, we propose and study a novel notion of Tykhonov well-posedness with respect to a set of directions for optimization problems. This concept generalizes the classical Tykhonov well-posedness by focusing on existence, stability and convergence along specific directions, rather than over the entire space.
Chen, J. S. +2 more
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