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  • Search: subject:"Levitin–Polyak well-posedness"
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Levitin–Polyak well-posedness 6 Approximating solution sequence 4 Gap function 3 Cone-coercivity of a set-valued map 2 Cone-monotone set-valued map 2 Existence theorem 2 Generalized Levitin–Polyak well-posedness 2 Generalized vector variational inequality 2 Levitin–Polyak well-posedness by perturbations 2 Non-linear scalarization function 2 Nonlinear scalarization function 2 Optimization problems 2 Parametric gap function 2 System of set-valued vector quasi-equilibrium problem 2 Vector equilibrium problems 2 Well-set 2 Efficiency 1 Functional constraints 1 General mixed variational inequality 1 Generalized vector quasi-equilibrium problems 1 Hadamard well-posedness 1 Hausdorff convergence 1 Levitin-Polyak well-posedness 1 Quasiconvexity 1 Upper semicontinuity 1
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Xia, Fu-quan 3 Chen, Jia-Wei 2 Cho, Yeol 2 Huang, X. 2 Li, M. 2 Li, S. 2 Wan, Zhongping 2 Xu, Zui 2 Zhu, D. 2 Zhu, Li 2 Chatterjee, Prashanto 1 Lalitha, C. 1 Li, Xiao-bo 1 Peng, Jian-Wen 1 Wang, Yan 1 Wu, Soon-Yi 1
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Computational Statistics 4 Mathematical Methods of Operations Research 4 Journal of Global Optimization 3
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RePEc 11
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Levitin–Polyak well-posedness for constrained quasiconvex vector optimization problems
Lalitha, C.; Chatterjee, Prashanto - In: Journal of Global Optimization 59 (2014) 1, pp. 191-205
In this paper, a notion of Levitin–Polyak (LP in short) well-posedness is introduced for a vector optimization problem in terms of minimizing sequences and efficient solutions. Sufficient conditions for the LP well-posedness are studied under the assumptions of compactness of the feasible set,...
Persistent link: https://www.econbiz.de/10010896393
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Hadamard well-posedness of a general mixed variational inequality in Banach space
Li, Xiao-bo; Xia, Fu-quan - In: Journal of Global Optimization 56 (2013) 4, pp. 1617-1629
Banach space. Under some suitable conditions, relations between Levitin–Polyak well-posedness and Hadamard well-posedness of …
Persistent link: https://www.econbiz.de/10010845826
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Levitin–Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems
Chen, Jia-Wei; Wan, Zhongping; Cho, Yeol - In: Mathematical Methods of Operations Research 77 (2013) 1, pp. 33-64
This paper is devoted to the Levitin–Polyak well-posedness by perturbations for a class of general systems of set …. Some sufficient and necessary conditions for the Levitin–Polyak well-posedness by perturbations are derived by the method … of continuous selection. We also explore the relationships among these Levitin–Polyak well-posedness by perturbations …
Persistent link: https://www.econbiz.de/10010999847
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Levitin–Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems
Chen, Jia-Wei; Wan, Zhongping; Cho, Yeol - In: Computational Statistics 77 (2013) 1, pp. 33-64
This paper is devoted to the Levitin–Polyak well-posedness by perturbations for a class of general systems of set …. Some sufficient and necessary conditions for the Levitin–Polyak well-posedness by perturbations are derived by the method … of continuous selection. We also explore the relationships among these Levitin–Polyak well-posedness by perturbations …
Persistent link: https://www.econbiz.de/10010759437
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Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints
Peng, Jian-Wen; Wu, Soon-Yi; Wang, Yan - In: Journal of Global Optimization 52 (2012) 4, pp. 779-795
Persistent link: https://www.econbiz.de/10010896399
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Scalarization method for Levitin–Polyak well-posedness of vectorial optimization problems
Zhu, Li; Xia, Fu-quan - In: Mathematical Methods of Operations Research 76 (2012) 3, pp. 361-375
In this paper, we develop a method of study of Levitin–Polyak well-posedness notions for vector valued optimization … problems and vectorial optimization problems, respectively. Finally, we construct the equivalence relations between the Levitin–Polyak … well-posedness of scalar optimization problems and the vectorial optimization problems. Copyright Springer-Verlag Berlin …
Persistent link: https://www.econbiz.de/10010949941
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Scalarization method for Levitin–Polyak well-posedness of vectorial optimization problems
Zhu, Li; Xia, Fu-quan - In: Computational Statistics 76 (2012) 3, pp. 361-375
In this paper, we develop a method of study of Levitin–Polyak well-posedness notions for vector valued optimization … problems and vectorial optimization problems, respectively. Finally, we construct the equivalence relations between the Levitin–Polyak … well-posedness of scalar optimization problems and the vectorial optimization problems. Copyright Springer-Verlag Berlin …
Persistent link: https://www.econbiz.de/10010759145
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Levitin–Polyak well-posedness of vector equilibrium problems
Li, S.; Li, M. - In: Mathematical Methods of Operations Research 69 (2009) 1, pp. 125-140
In this paper, two types of Levitin–Polyak well-posedness of vector equilibrium problems with variable domination … structures are investigated. Criteria and characterizations for two types of Levitin–Polyak well-posedness of vector equilibrium … Levitin–Polyak well-posedness for an optimization problem and the Levitin–Polyak well-posedness for a vector equilibrium …
Persistent link: https://www.econbiz.de/10010950214
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Levitin–Polyak well-posedness of vector equilibrium problems
Li, S.; Li, M. - In: Computational Statistics 69 (2009) 1, pp. 125-140
In this paper, two types of Levitin–Polyak well-posedness of vector equilibrium problems with variable domination … structures are investigated. Criteria and characterizations for two types of Levitin–Polyak well-posedness of vector equilibrium … Levitin–Polyak well-posedness for an optimization problem and the Levitin–Polyak well-posedness for a vector equilibrium …
Persistent link: https://www.econbiz.de/10010759419
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Levitin–Polyak well-posedness in generalized vector variational inequality problem with functional constraints
Xu, Zui; Zhu, D.; Huang, X. - In: Computational Statistics 67 (2008) 3, pp. 505-524
In this paper, we study Levitin–Polyak type well-posedness for generalized vector variational inequality problems with abstract and functional constraints. Various criteria and characterizations for these types of well-posednesses are given. Copyright Springer-Verlag 2008
Persistent link: https://www.econbiz.de/10010847861
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