23 research outputs found
Lagrange Duality in Set Optimization
- Author
- A. Hamel
- A. Löhne
- A. Löhne
- A. Löhne
- A.H. Hamel
- A.H. Hamel
- A.H. Hamel
- A.H. Hamel
- Andreas H. Hamel
- Andreas Löhne
- C. Schrage
- D. Kuroiwa
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- E. Hernández
- E. Hernández
- E. Hernández
- E. Hernández
- E. Jouini
- F. Flores-Bazán
- F. Giannessi
- F. Heyde
- F. Heyde
- H.W. Corley
- J. Jahn
- J. Jahn
- J.M. Borwein
- J.M. Borwein
- J.M. Borwein
- J.M. Borwein
- R.I. Boţ
- S. Dolecki
- T. Tanino
- T. Tanino
- T.X.D. Ha
- V. Postolică
- W. Oettli
- W. Oettli
- W. Song
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 18/07/2012
- Field of study
Based on the complete-lattice approach, a new Lagrangian duality theory for
set-valued optimization problems is presented. In contrast to previous
approaches, set-valued versions for the known scalar formulas involving infimum
and supremum are obtained. In particular, a strong duality theorem, which
includes the existence of the dual solution, is given under very weak
assumptions: The ordering cone may have an empty interior or may not be
pointed. "Saddle sets" replace the usual notion of saddle points for the
Lagrangian, and this concept is proven to be sufficient to show the equivalence
between the existence of primal/dual solutions and strong duality on the one
hand and the existence of a saddle set for the Lagrangian on the other hand
Existence Results for Minimal Points
- Author
- A. Sterna-Karwat
- A.B. Németh
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- E. Hernández
- F. Flores-Bazán
- G. Isac
- G.B. Hazen
- G.R. Bitran
- H. Attouch
- H.W. Corley
- J. Jahn
- J.M. Borwein
- J.P. Dedieu
- J.P. Penot
- J.W. Nieuwenhuis
- K.L. Chew
- L. Cesari
- L. Gajek
- M. Alonso
- M.I. Henig
- R. Hartley
- T. Tanaka
- T.X.D. Ha
- T.X.D. Ha
- V. Postolică
- V. Postolică
- Y. Sonntag
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Ekeland Variational Principle
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Generalized Ekeland’s variational principle with applications
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Duality
- Author
- A. Götz
- A. Löhne
- A. Löhne
- A. Löhne
- A. Löhne
- A. Rubinov
- C.S. Lalitha
- D. Kuroiwa
- E. Hernández
- E. Hernández
- E. Hernández
- G.P. Crespi
- H. Kawasaki
- H.W. Corley
- H.W. Corley
- I. Ekeland
- J. Jahn
- J. Jahn
- J. Jahn
- J.M. Borwein
- J.W. Nieuwenhuis
- R.I. Boţ
- Rockafellar R.T.: Conjugate duality and optimization. Society for Industrial and Applied Mathematics. VI
- S.J. Li
- T. Tanino
- T. Tanino
- T. Tanino
- T.X.D. Ha
- W. Song
- W. Song
- X.H. Gong
- Z.F. Li
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Sequential Maximality Principles
- Author
- A. Bejancu
- A. Brøndsted
- A. Brøndsted
- A. Granas
- A. Szaz
- A. Tarski
- A.B. Nemeth
- B.G. Kang
- C. Gerth (Tammer)
- C. Tammer
- C.E. Blair
- D. Tataru
- D.H. Hyers
- E. Schechter
- E.S. Wolk
- G.H. Moore
- G.Y. Chen
- H. Brezis
- I. Ekeland
- I. Ekeland
- J. Dodu
- J. Zhu
- J.H. Qiu
- J.M. Borwein
- L. Nachbin
- M. Altman
- M. Turinici
- M. Turinici
- M. Turinici
- M. Turinici
- M. Turinici
- M. Turinici
- N. Bourbaki
- N. Brunner
- O. Kada
- P. Bernays
- P. Rozoveanu
- P.Q. Khanh
- R. Cristescu
- R. Deville
- R. Goldblatt
- S. Dancs
- S.J. Li
- T.Q. Bao
- T.X.D. Ha
- V. Conserva
- W.S. Du
- Y. Li
- Y. Moskhovakis
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Linear Scalarizations
- Author
- A. Engau
- A. Engau
- A. Guerraggio
- A. Göpfert
- A. Göpfert
- A. Pascoletti
- A. Sterna-Karwat
- A. Sterna-Karwat
- A. Zaffaroni
- A.D. Ioffe
- A.D. Ioffe
- A.M. Rubinov
- B. Abdouni El
- B. Bank
- B. Fischer
- B. Soleimani
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- C. Berge
- C. Berge
- C. Gebhardt
- C. Gerth
- C. Gutiérrez
- C. Tammer
- C.G. Liu
- D. Baatar
- D. Gourion
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- D.T. Luc
- D.T. Luc
- D.W. Walkup
- E. Bishop
- E.K. Karaskal
- E.M. Bednarczuk
- F. Giannessi
- F. Giannessi
- F. Zheng
- F.H. Clarke
- F.Y. Edgeworth
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Godini
- G. Isac
- G. Isac
- G. Mastroeni
- G. Xiao
- G.M. Lee
- G.M. Lee
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- H.P. Benson
- I. Henig
- J. Benoist
- J. Borde
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Liu
- J.-B. Hiriart-Urruty
- J.-B. Hiriart-Urruty
- J.H. Qiu
- J.M. Borwein
- J.M. Borwein
- J.P. Aubin
- J.P. Aubin
- J.P. Dauer
- J.P. Delahaye
- J.Y. Bello Cruz
- K. Bergstresser
- K. Bergstresser
- K. Fan
- K. Nikodem
- K.M. Miettinen
- L. Thibault
- L.-C. Ceng
- L.C. Ceng
- M. Adán
- M. Adán
- M. Ehrgott
- M. Petschke
- M. Pruckner
- M. Tanaka
- M. Wacker
- M. Ziegler
- M.M. Kostreva
- M.M. Wiecek
- N. Georgescu
- N. Georgescu
- N.J. Huang
- P. Daniele
- P. Korhonen
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P.J. Guerra
- P.J. Guerra
- P.L. Yu
- P.L. Yu
- P.Q. Khanh
- Q.H. Ansari
- R. John
- R. John
- R. Kasimbeyli
- R. Ramesh
- R.C. Young
- R.G.D. Allen
- R.I. Boţ
- S. Al-Homodan
- S. Helbig
- S. Helbig
- S.J. Li
- T.Q. Bao
- T.X.D. Ha
- T.X.D. Ha
- V. Pareto
- W. Ogryczak
- W. Ogryczak
- W. Stadler
- Y. Sawaragi
- Y.M. Younes
- Z.G. Nishnianidze
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Cone-Valued Maps
- Author
- A. Engau
- A. Engau
- A. Guerraggio
- A. Göpfert
- A. Göpfert
- A. Pascoletti
- A. Sterna-Karwat
- A. Sterna-Karwat
- A. Zaffaroni
- A.D. Ioffe
- A.D. Ioffe
- A.M. Rubinov
- B. Abdouni El
- B. Bank
- B. Fischer
- B. Soleimani
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- C. Berge
- C. Berge
- C. Gebhardt
- C. Gerth
- C. Gutiérrez
- C. Tammer
- C.G. Liu
- D. Baatar
- D. Gourion
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- D.T. Luc
- D.T. Luc
- D.W. Walkup
- E. Bishop
- E.K. Karaskal
- E.M. Bednarczuk
- F. Giannessi
- F. Giannessi
- F. Zheng
- F.H. Clarke
- F.Y. Edgeworth
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Godini
- G. Isac
- G. Isac
- G. Mastroeni
- G. Xiao
- G.M. Lee
- G.M. Lee
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- H.P. Benson
- I. Henig
- J. Benoist
- J. Borde
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Liu
- J.-B. Hiriart-Urruty
- J.-B. Hiriart-Urruty
- J.H. Qiu
- J.M. Borwein
- J.M. Borwein
- J.P. Aubin
- J.P. Aubin
- J.P. Dauer
- J.P. Delahaye
- J.Y. Bello Cruz
- K. Bergstresser
- K. Bergstresser
- K. Fan
- K. Nikodem
- K.M. Miettinen
- L. Thibault
- L.-C. Ceng
- L.C. Ceng
- M. Adán
- M. Adán
- M. Ehrgott
- M. Petschke
- M. Pruckner
- M. Tanaka
- M. Wacker
- M. Ziegler
- M.M. Kostreva
- M.M. Wiecek
- N. Georgescu
- N. Georgescu
- N.J. Huang
- P. Daniele
- P. Korhonen
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P.J. Guerra
- P.J. Guerra
- P.L. Yu
- P.L. Yu
- P.Q. Khanh
- Q.H. Ansari
- R. John
- R. John
- R. Kasimbeyli
- R. Ramesh
- R.C. Young
- R.G.D. Allen
- R.I. Boţ
- S. Al-Homodan
- S. Helbig
- S. Helbig
- S.J. Li
- T.Q. Bao
- T.X.D. Ha
- T.X.D. Ha
- V. Pareto
- W. Ogryczak
- W. Ogryczak
- W. Stadler
- Y. Sawaragi
- Y.M. Younes
- Z.G. Nishnianidze
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Scalarizations for Variable Orderings Given by Bishop-Phelps Cones
- Author
- A. Engau
- A. Engau
- A. Guerraggio
- A. Göpfert
- A. Göpfert
- A. Pascoletti
- A. Sterna-Karwat
- A. Sterna-Karwat
- A. Zaffaroni
- A.D. Ioffe
- A.D. Ioffe
- A.M. Rubinov
- B. Abdouni El
- B. Bank
- B. Fischer
- B. Soleimani
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- C. Berge
- C. Berge
- C. Gebhardt
- C. Gerth
- C. Gutiérrez
- C. Tammer
- C.G. Liu
- D. Baatar
- D. Gourion
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- D.T. Luc
- D.T. Luc
- D.W. Walkup
- E. Bishop
- E.K. Karaskal
- E.M. Bednarczuk
- F. Giannessi
- F. Giannessi
- F. Zheng
- F.H. Clarke
- F.Y. Edgeworth
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Godini
- G. Isac
- G. Isac
- G. Mastroeni
- G. Xiao
- G.M. Lee
- G.M. Lee
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- H.P. Benson
- I. Henig
- J. Benoist
- J. Borde
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Liu
- J.-B. Hiriart-Urruty
- J.-B. Hiriart-Urruty
- J.H. Qiu
- J.M. Borwein
- J.M. Borwein
- J.P. Aubin
- J.P. Aubin
- J.P. Dauer
- J.P. Delahaye
- J.Y. Bello Cruz
- K. Bergstresser
- K. Bergstresser
- K. Fan
- K. Nikodem
- K.M. Miettinen
- L. Thibault
- L.-C. Ceng
- L.C. Ceng
- M. Adán
- M. Adán
- M. Ehrgott
- M. Petschke
- M. Pruckner
- M. Tanaka
- M. Wacker
- M. Ziegler
- M.M. Kostreva
- M.M. Wiecek
- N. Georgescu
- N. Georgescu
- N.J. Huang
- P. Daniele
- P. Korhonen
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P.J. Guerra
- P.J. Guerra
- P.L. Yu
- P.L. Yu
- P.Q. Khanh
- Q.H. Ansari
- R. John
- R. John
- R. Kasimbeyli
- R. Ramesh
- R.C. Young
- R.G.D. Allen
- R.I. Boţ
- S. Al-Homodan
- S. Helbig
- S. Helbig
- S.J. Li
- T.Q. Bao
- T.X.D. Ha
- T.X.D. Ha
- V. Pareto
- W. Ogryczak
- W. Ogryczak
- W. Stadler
- Y. Sawaragi
- Y.M. Younes
- Z.G. Nishnianidze
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Duality Results
- Author
- A. Engau
- A. Engau
- A. Guerraggio
- A. Göpfert
- A. Göpfert
- A. Pascoletti
- A. Sterna-Karwat
- A. Sterna-Karwat
- A. Zaffaroni
- A.D. Ioffe
- A.D. Ioffe
- A.M. Rubinov
- B. Abdouni El
- B. Bank
- B. Fischer
- B. Soleimani
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- B.S. Mordukhovich
- C. Berge
- C. Berge
- C. Gebhardt
- C. Gerth
- C. Gutiérrez
- C. Tammer
- C.G. Liu
- D. Baatar
- D. Gourion
- D. Kuroiwa
- D. Kuroiwa
- D.T. Luc
- D.T. Luc
- D.T. Luc
- D.W. Walkup
- E. Bishop
- E.K. Karaskal
- E.M. Bednarczuk
- F. Giannessi
- F. Giannessi
- F. Zheng
- F.H. Clarke
- F.Y. Edgeworth
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Eichfelder
- G. Godini
- G. Isac
- G. Isac
- G. Mastroeni
- G. Xiao
- G.M. Lee
- G.M. Lee
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- G.Y. Chen
- H.P. Benson
- I. Henig
- J. Benoist
- J. Borde
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Jahn
- J. Liu
- J.-B. Hiriart-Urruty
- J.-B. Hiriart-Urruty
- J.H. Qiu
- J.M. Borwein
- J.M. Borwein
- J.P. Aubin
- J.P. Aubin
- J.P. Dauer
- J.P. Delahaye
- J.Y. Bello Cruz
- K. Bergstresser
- K. Bergstresser
- K. Fan
- K. Nikodem
- K.M. Miettinen
- L. Thibault
- L.-C. Ceng
- L.C. Ceng
- M. Adán
- M. Adán
- M. Ehrgott
- M. Petschke
- M. Pruckner
- M. Tanaka
- M. Wacker
- M. Ziegler
- M.M. Kostreva
- M.M. Wiecek
- N. Georgescu
- N. Georgescu
- N.J. Huang
- P. Daniele
- P. Korhonen
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P. Weidner
- P.J. Guerra
- P.J. Guerra
- P.L. Yu
- P.L. Yu
- P.Q. Khanh
- Q.H. Ansari
- R. John
- R. John
- R. Kasimbeyli
- R. Ramesh
- R.C. Young
- R.G.D. Allen
- R.I. Boţ
- S. Al-Homodan
- S. Helbig
- S. Helbig
- S.J. Li
- T.Q. Bao
- T.X.D. Ha
- T.X.D. Ha
- V. Pareto
- W. Ogryczak
- W. Ogryczak
- W. Stadler
- Y. Sawaragi
- Y.M. Younes
- Z.G. Nishnianidze
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study