Found 44 Documents (Results 1–44)
Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones. (English) Zbl 1527.90198
Approximate solutions of vector optimization problems via improvement sets in real linear spaces. (English) Zbl 1441.90145
Reviewer: Karel Zimmermann (Praha)
Henig approximate proper efficiency and optimization problems with difference of vector mappings. (English) Zbl 1346.90809
Duality related to approximate proper solutions of vector optimization problems. (English) Zbl 1329.90166
Approximation of weak efficient solutions in vector optimization. (English) Zbl 1370.90243
Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in information systems and management sciences. Proceedings of the 3rd international conference on modelling, computation and optimization in information systems and management sciences, MCO 2015, Lorraine, France, May 11–13, 2015. Part I. Cham: Springer (ISBN 978-3-319-18160-8/pbk; 978-3-319-18161-5/ebook). Advances in Intelligent Systems and Computing 359, 481-489 (2015).
Nonlinear scalarizations of set optimization problems with set orderings. (English) Zbl 1337.49025
Hamel, Andreas H. (ed.) et al., Set optimization and applications – the state of the art. From set relations to set-valued risk measures. Berlin: Springer (ISBN 978-3-662-48668-9/hbk; 978-3-662-48670-2/ebook). Springer Proceedings in Mathematics & Statistics 151, 43-63 (2015).
Optimality conditions for quasi-solutions of vector optimization problems. (English) Zbl 1374.90338
Reviewer: Paulo Mbunga (Kiel)
Chain rules for a proper \(\varepsilon\)-subdifferential of vector mappings. (English) Zbl 1327.90384
Proper approximate solutions and \(\varepsilon\)-subdifferentials in vector optimization: Moreau-Rockafellar type theorems. (English) Zbl 1312.90071
Reviewer: Frank Werner (Magdeburg)
An extension of the basic constraint qualification to nonconvex vector optimization problems. (English) Zbl 1273.90203
Proper approximate solutions and \(\varepsilon\)-subdifferentials in vector optimization: basic properties and limit behaviour. (English) Zbl 1285.90058
Higher order strong convexity and global strict minimizers in multiobjective optimization. (English) Zbl 1213.90219
Reviewer: Rita Pini (Milano)
An overview of second order tangent sets and their application to vector optimization. (English) Zbl 1242.49035
Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions. (English) Zbl 1211.90211
On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming. (English) Zbl 1185.90183
Reviewer: A. K. Hosni (Benha)
Optimality conditions via scalarization for a new \(\epsilon \)-efficiency concept in vector optimization problems. (English) Zbl 1177.90406
MSC:
90C46
Strong Kuhn-Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems. (English) Zbl 1198.90348
Reviewer: Vitali Oscarovich Groppen (Vladikavkaz)
New second-order directional derivative and optimality conditions in scalar and vector optimization. (English) Zbl 1206.90210
Reviewer: Gabriela Cristescu (Arad)
Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives. (English) Zbl 1160.90652
A note on first-order sufficient optimality conditions for Pareto problems. (English) Zbl 1165.90621
First order optimality conditions in vector optimization involving stable functions. (English) Zbl 1191.90056
Optimality conditions for metrically consistent approximate solutions in vector optimization. (English) Zbl 1171.90010
Reviewer: Paulo Mbunga (Kiel)
Sufficient optimality conditions and duality in nonsmooth multiobjective optimization problems under generalized convexity. (English) Zbl 1132.49019
Konnov, Igor V. (ed.) et al., Generalized convexity and related topics. Proceedings of the 8th international symposium on generalized convexity and monotonicity, Varese, Italy, July 4–8, 2005. Berlin: Springer (ISBN 3-540-37006-4/pbk). Lecture Notes in Economics and Mathematical Systems 583, 265-278 (2007).
A unified approach and optimality conditions for approximate solutions of vector optimization problems. (English) Zbl 1119.49020
Characterization of the cone of attainable directions. (English) Zbl 1149.90176
Reviewer: Francisco Guerra Vazquez (Puebla)
MSC:
90C46
\(\varepsilon\)-Pareto optimality conditions for convex multiobjective programming via Max function. (English) Zbl 1137.90654
Reviewer: Igor V. Konnov (Kazan)
Multiplier rules and saddle-point theorems for Helbig’s approximate solutions in convex Pareto problems. (English) Zbl 1149.90398
Duality and saddle-points for convex-like vector optimization problems on real linear spaces. (English) Zbl 1112.90074
A chain rule for \(\varepsilon\)-subdifferentials with applications to approximate solutions in convex Pareto problems. (English) Zbl 1074.49003
Lagrange multipliers in multiobjective optimization under mixed assumptions of Fréchet and directional differentiability. (English. Spanish summary) Zbl 1097.90049
Reviewer: Carlos Narciso Bouza Herrera (Habana)
On constraint qualifications in directionally differentiable multiobjective optimization problems. (English) Zbl 1158.90421
Optimality conditions in differentiable vector optimization via second-order tangent sets. (English) Zbl 1138.90472
Minimum principle-type optimality conditions for Pareto problems. (English) Zbl 1070.90098
Reviewer: Dinh The Luc (Avignon)
A notion of local proper efficiency in the Borwein sense in vector optimisation. (English) Zbl 1161.90478
Second order necessary conditions in set constrained differentiable vector optimization. (English) Zbl 1049.90083
Reviewer: Francisco Guerra Vazquez (Puebla)
First and second order sufficient conditions for strict minimality in nonsmooth vector optimization. (English) Zbl 1033.90120
First and second order sufficient conditions for strict minimality in multiobjective programming. (English) Zbl 1025.90023
Reviewer: R.N.Kaul (Delhi)
A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization. (English) Zbl 1008.90051
Alternative theorems and necessary optimality conditions for directionally differentiable multiobjective programs. (English) Zbl 1010.90073
Optimization of nonderivable functions. (Spanish. English summary) Zbl 0756.49010
MSC:
49J50
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