Results 21 to 30 of about 25,286 (62)
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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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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CONVERGENCE CRITERIA, WELL-POSEDNESS CONCEPTS AND APPLICATIONS
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2023 We consider an abstract problem P in a metric space X which has a unique solution u G X. Our aim in this current paper is two folds: first, to provide a convergence criterion to the solution of Problem P , that is, to give necessary and sufficient ...
M. Sofonea, D. Tarzia
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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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Journal of Nonlinear and Variational Analysis, 2022 . We consider an elliptic variational-hemivariational inequality P in a p -uniformly smooth Banach space. We prove that the inequality is governed by a multivalued maximal monotone operator, and, for each λ > 0, we use the resolvent of this operator to ...
H. Rong, M. Sofonea
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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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Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 The purpose of this paper is to investigate the problems of the well‐posedness for a system of mixed quasivariational‐like inequalities in Banach spaces. First, we generalize the concept of α‐well‐posedness to the system of mixed quasivariational‐like inequalities, which includes symmetric quasi‐equilibrium problems as a special case.
L. C. Ceng, Y. C. Lin, Yonghong Yao
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Well‐Posedness of Generalized Vector Quasivariational Inequality Problems
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 We introduce several types of the Levitin‐Polyak well‐posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin‐Polyak well‐posednesses with or without gap functions of generalized vector quasivariational inequality ...
Jian-Wen Peng +2 more
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