Optimality conditions in optimization under uncertainty. (English) Zbl 1536.90240
Reviewer: Tatiana Tchemisova (Aveiro)
Found 39 Documents (Results 1–39)
A first bibliography on set and vector optimization problems with respect to variable domination structures. (English) Zbl 1517.90135
Vector optimization with domination structures: variational principles and applications. (English) Zbl 1494.90103
Reviewer: Vladimir Balan (Bucureşti)
A steepest descent method for set optimization problems with set-valued mappings of finite cardinality. (English) Zbl 1478.90116
A scalarization scheme for binary relations with applications to set-valued and robust optimization. (English) Zbl 1465.90121
Scalarization and separation by translation invariant functions. With applications in optimization, nonlinear functional analysis, and mathematical economics. (English) Zbl 1515.90127
Vector Optimization. Cham: Springer (ISBN 978-3-030-44721-2/hbk). xx, 690 p. (2020).
Reviewer: Jian Wen Peng (Chongqing)
The Fermat rule for set optimization problems with Lipschitzian set-valued mappings. (English) Zbl 1460.90141
Necessary conditions for solutions of set optimization problems with respect to variable domination structures. (English) Zbl 1454.90106
Regularization methods for scalar and vector control problems. (English) Zbl 1429.49026
Khan, Akhtar A. (ed.) et al., Variational analysis and set optimization. Developments and applications in decision making. Boca Raton, FL: CRC Press/Science Publishers. 296-321 (2019).
Reviewer: Elvira Mascolo (Firenze)
Necessary optimality conditions in generalized convex multi-objective optimization involving nonconvex constraints. (English) Zbl 1485.90123
Inverse generalized vector variational inequalities with respect to variable domination structures and applications to vector approximation problems. (English) Zbl 1485.46005
Set approach duality assertions for set-valued problems with the nonsolid ordering cone. (English) Zbl 1458.90571
Reviewer: Doina Carp (Bucureşti)
A vector-valued Ekeland’s variational principle in vector optimization with variable ordering structures. (English) Zbl 1398.90164
Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization. (English) Zbl 1411.90324
On some methods to derive necessary and sufficient optimality conditions in vector optimization. (English) Zbl 1383.49035
Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures. (English) Zbl 1373.90143
The Lipschitzianity of convex vector and set-valued functions. (English) Zbl 1348.46004
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Duality related to approximate proper solutions of vector optimization problems. (English) Zbl 1329.90166
Characterization of set relations by means of a nonlinear scalarization functional. (English) Zbl 1370.90248
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, 491-503 (2015).
Set-valued optimization. An introduction with applications. (English) Zbl 1308.49004
Vector Optimization. Berlin: Springer (ISBN 978-3-642-54264-0/hbk; 978-3-642-54265-7/ebook). xxii, 765 p. (2015).
Reviewer: Sorin-Mihai Grad (Chemnitz)
Scalarization in geometric and functional vector optimization revisited. (English) Zbl 1297.90146
Reviewer: Frank Werner (Magdeburg)
Second-order optimality conditions in set-valued optimization via asymptotic derivatives. (English) Zbl 1273.90159
Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications. (English) Zbl 1261.90088
Reviewer: Frank Werner (Magdeburg)
Application of a vector-valued Ekeland-type variational principle for deriving optimality conditions. (English) Zbl 1184.49026
Pardalos, Panos M. (ed.) et al., Nonlinear analysis and variational problems. In Honor of George Isac. Berlin: Springer (ISBN 978-1-4419-0157-6/hbk; 978-1-4419-0158-3/ebook). Springer Optimization and Its Applications 35, 343-365 (2010).
Set-valued duality theory for multiple objective linear programs and application to mathematical finance. (English) Zbl 1191.90055
A new approach to duality in vector optimization. (English) Zbl 1119.90048
Reviewer: Frank Werner (Magdeburg)
Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle. (English) Zbl 1110.49018
Reviewer: Alfred Göpfert (Halle)
Closing the duality gap in linear vector optimization. (English) Zbl 1063.90047
Reviewer: Francisco Guerra Vazquez (Puebla)
An \(\epsilon\)-minimum principle for multiobjective stochastic optimal control problems. (English) Zbl 1053.93040
Exploitation of necessary and sufficient conditions for suboptimal solutions of multiobjective stochastic control problems. (English) Zbl 1115.93096
Reviewer: Anatoliy Swishchuk (Calgary)
Optimality conditions for approximation problems. (English) Zbl 0948.49012
Rassias, Themistocles M. (ed.), Nonlinear mathematical analysis and applications. Palm Harbor, FL: Hadronic Press. 59-100 (1998).
Reviewer: Constantin Zălinescu (Iaşi)
Multiobjective optimal control problems. (English) Zbl 0940.49020
Schmidt, W. H. (ed.) et al., Variational calculus, optimal control and applications. Proceedings of the 12th international conference in honour of L. Bittner and R. Klötzler, Trassenheide, Germany, September 23-27, 1996. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 124, 97-106 (1998).
Reviewer: J.Guddat (Berlin)
Approximate solutions of vector-valued control-approximation problems. (English) Zbl 0887.49021
Reviewer: A.Göpfert (Halle)
Notwendige Bedingungen für effiziente und \(\epsilon\)-effiziente Elemente bei Vektoroptimierungsproblemen. (Necessary conditions for efficient and \(\epsilon\)-efficient elements in vector optimization problems). (German) Zbl 0673.90082
Wiss. Schriftenr. Tech. Univ. Karl-Marx-Stadt 5, 82-89 (1989).
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