Suchergebnisse - optimization problems in Banach spaces

  1. 1

    Second‐Order Optimality Conditions for Scalar and Vector Optimization Problems in Banach Spaces von Gfrerer, Helmut

    ISSN: 0363-0129, 1095-7138
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2006
    Veröffentlicht in SIAM journal on control and optimization (01.01.2006)
    “… In this paper we present a very general and unified theory of second-order optimality conditions for general optimization problems subject to abstract constraints in Banach spaces …”
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  2. 2

    Some relations between Minty variational-like inequality problems and vectorial optimization problems in Banach spaces von Ruiz-Garzón, Gabriel, dos Santos, Lucelina Batista, Rufián-Lizana, Antonio, Arana-Jiménez, Manuel

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.11.2010
    Veröffentlicht in Computers & mathematics with applications (1987) (01.11.2010)
    “… This paper is devoted to the study of relationships between solutions of Stampacchia and Minty vector variational-like inequalities, weak and strong Pareto solutions of vector optimization problems …”
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  3. 3

    Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces von dos Santos, Lucelina Batista, Ruiz-Garzón, Gabriel, Rojas-Medar, Marko A., Rufián-Lizana, Antonio

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.04.2008
    Veröffentlicht in Computers & mathematics with applications (1987) (01.04.2008)
    “… In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses …”
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  4. 4

    Well-posedness of a class of perturbed optimization problems in Banach spaces von Peng, Li-Hui, Li, Chong, Yao, Jen-Chih

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.10.2008
    Veröffentlicht in Journal of mathematical analysis and applications (15.10.2008)
    “… Let X be a Banach space and Z a nonempty subset of X. Let J : Z → R be a lower semicontinuous function bounded from below and p ⩾ 1 …”
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  5. 5

    The gap function for optimization problems in Banach spaces von Soleimani-damaneh, M.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 15.07.2008
    Veröffentlicht in Nonlinear analysis (15.07.2008)
    “… In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established …”
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  6. 6

    On quadratic scalarization of vector optimization problems in Banach spaces von Kogut, Peter I., Manzo, Rosanna

    ISSN: 0003-6811, 1563-504X
    Veröffentlicht: Abingdon Taylor & Francis 04.05.2014
    Veröffentlicht in Applicable analysis (04.05.2014)
    “… We study vector optimization problems in partially ordered Banach spaces and suppose that the objective mapping possesses a weakened property of lower semicontinuity and make no assumptions …”
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  7. 7

    Porosity of perturbed optimization problems in Banach spaces von Li, Chong, Peng, Li Hui

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.12.2006
    Veröffentlicht in Journal of mathematical analysis and applications (15.12.2006)
    “… Let X be a Banach space and Z a nonempty closed subset of X. Let J : Z → R be a lower semicontinuous function bounded from below …”
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  8. 8

    Some vector optimization problems in Banach spaces with generalized convexity von Yu, Guolin, Liu, Sanyang

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.12.2007
    Veröffentlicht in Computers & mathematics with applications (1987) (01.12.2007)
    “… In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces …”
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  9. 9

    Structure of Pareto Solutions of Generalized Polyhedral-Valued Vector Optimization Problems in Banach Spaces von Qinghai, He, Kong, Weili

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: Cairo, Egypt Hindawi Limiteds 01.01.2013
    Veröffentlicht in Abstract and Applied Analysis (01.01.2013)
    “… In general Banach spaces, we consider a vector optimization problem (SVOP) in which the objective is a set-valued mapping whose graph is the union of finitely many polyhedra or the union of finitely many generalized polyhedra …”
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  10. 10

    A first-order method for solving bilevel convex optimization problems in Banach space von Guan, Wei-Bo, Song, Wen

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 02.07.2024
    Veröffentlicht in Optimization (02.07.2024)
    “… problem in Banach space. Regularized forward-backward splitting method is applied to find the minimum like-norm solution of the minimization problem under investigation …”
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  11. 11

    Pareto Solutions of Polyhedral-valued Vector Optimization Problems in Banach Spaces von Zheng, Xi Yin

    ISSN: 1877-0533, 1572-932X, 1877-0541
    Veröffentlicht: Dordrecht Springer Netherlands 01.12.2009
    Veröffentlicht in Set-Valued and Variational Analysis (01.12.2009)
    “… In general Banach spaces, we consider a vector optimization problem (SVOP) in which the objective is a set-valued mapping whose graph is the union of finitely many polyhedra …”
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  12. 12

    Existence and porosity for a class of perturbed optimization problems in Banach spaces von Peng, Li Hui, Li, Chong

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.01.2007
    Veröffentlicht in Journal of mathematical analysis and applications (15.01.2007)
    “… Let X be a Banach space and Z a nonempty closed subset of X. Let J : Z → R be an upper semicontinuous function bounded from above …”
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  13. 13

    Second-order optimality conditions for scalar and vector optimization problems in banach spaces von GFRERER, Helmut

    ISSN: 0363-0129
    Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 2007
    Veröffentlicht in SIAM journal on control and optimization (2007)
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  14. 14

    Existence of Exact Penalty and Its Stability for Nonconvex Constrained Optimization Problems in Banach Spaces von Zaslavski, Alexander J.

    ISSN: 0927-6947, 1572-932X
    Veröffentlicht: Dordrecht Springer Netherlands 01.12.2008
    Veröffentlicht in Set-valued analysis (01.12.2008)
    “… In this paper we use the penalty approach in order to study two constrained minimization problems …”
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  15. 15

    Optimality Conditions for Convex Stochastic Optimization Problems in Banach Spaces with Almost Sure State Constraints von Geiersbach, Caroline, Wollner, Winnifried

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 28.06.2021
    Veröffentlicht in arXiv.org (28.06.2021)
    “… We analyze a convex stochastic optimization problem where the state is assumed to belong to the Bochner space of essentially bounded random variables with images in a reflexive and separable Banach space …”
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  16. 16

    Perturbation analysis of optimization problems in banach spaces von Shapiro, Alexander

    ISSN: 0163-0563, 1532-2467
    Veröffentlicht: Philadelphia, PA Marcel Dekker, Inc 01.01.1992
    Veröffentlicht in Numerical functional analysis and optimization (01.01.1992)
    “… In this paper we study local behavior of optimal solutions of parametric programs in Banach spaces …”
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  17. 17

    An Augmented Lagrangian Method for Optimization Problems in Banach Spaces von Kanzow, Christian, Steck, Daniel, Wachsmuth, Daniel

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 12.07.2018
    Veröffentlicht in arXiv.org (12.07.2018)
    “… We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces …”
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  18. 18

    DESCENT METHODS FOR CONVEX OPTIMIZATION PROBLEMS IN BANACH SPACES von Ali, M. S. S.

    ISSN: 0161-1712, 1687-0425
    Veröffentlicht: Hindawi Limiteds 01.01.2005
    “… We consider optimization problems in Banach spaces, whose cost functions are convex and smooth, but do not possess strengthened convexity properties …”
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  19. 19

    New Constraint Qualifications for Optimization Problems in Banach Spaces based on Asymptotic KKT Conditions von Börgens, Eike, Kanzow, Christian, Mehlitz, Patrick, Wachsmuth, Gerd

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 29.04.2020
    Veröffentlicht in arXiv.org (29.04.2020)
    “… Optimization theory in Banach spaces suffers from the lack of available constraint qualifications …”
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  20. 20

    Approximating stationary points of stochastic optimization problems in Banach space von Balaji, Ramamurthy, Xu, Huifu

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 01.11.2008
    Veröffentlicht in Journal of mathematical analysis and applications (01.11.2008)
    “… points of a nonsmooth one stage stochastic minimization problem in separable Banach space …”
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