Search Results - optimization problems in Banach spaces

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

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

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

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

“…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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The gap function for optimization problems in Banach spaces by Soleimani-damaneh, M.

“…In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established…”
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On quadratic scalarization of vector optimization problems in Banach spaces by Kogut, Peter I., Manzo, Rosanna

“…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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Porosity of perturbed optimization problems in Banach spaces by Li, Chong, Peng, Li Hui

“…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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Some vector optimization problems in Banach spaces with generalized convexity by Yu, Guolin, Liu, Sanyang

“…In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces…”
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Structure of Pareto Solutions of Generalized Polyhedral-Valued Vector Optimization Problems in Banach Spaces by Qinghai, He, Kong, Weili

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

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

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

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

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

“…In this paper we use the penalty approach in order to study two constrained minimization problems…”
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Optimality Conditions for Convex Stochastic Optimization Problems in Banach Spaces with Almost Sure State Constraints by Geiersbach, Caroline, Wollner, Winnifried

“…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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Perturbation analysis of optimization problems in banach spaces by Shapiro, Alexander

“…In this paper we study local behavior of optimal solutions of parametric programs in Banach spaces…”
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An Augmented Lagrangian Method for Optimization Problems in Banach Spaces by Kanzow, Christian, Steck, Daniel, Wachsmuth, Daniel

“…We propose a variant of the classical augmented Lagrangian method for constrained optimization problems in Banach spaces…”
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DESCENT METHODS FOR CONVEX OPTIMIZATION PROBLEMS IN BANACH SPACES by Ali, M. S. S.

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

“…Optimization theory in Banach spaces suffers from the lack of available constraint qualifications…”
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Approximating stationary points of stochastic optimization problems in Banach space by Balaji, Ramamurthy, Xu, Huifu

“… points of a nonsmooth one stage stochastic minimization problem in separable Banach space…”
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