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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 24, 1992 - Issue 3-4
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Original Articles

semi-continuities of marginal functions in a sequential setting

M. B. Lignola Dipartimento di Matematica e Applicazioni, Universita’ di Napoli Via Cinthia, via Cinthia,Complesso di Monte Sun Angelo, Napoli, 80126, Italy
&
J. Morgan Dipartimento di Matematica e Applicazioni, Universita’ di Napoli Via Cinthia, via Cinthia,Complesso di Monte Sun Angelo, Napoli, 80126, Italy
Pages 241-252 | Published online: 20 Mar 2007

Citations (27)

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M. Beatrice Lignola. (1998) Existence of nash equilibria and saddle points in infinite-dimensional spaces. Optimization 43:4, pages 367-383.
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Articles from other publishers (26)

Houda Keraoui, Fatima-Ezzahra Saissi & Abdelmalek Aboussoror. (2023) On the Existence of Solutions for Weak Nonlinear Bilevel Optimization Problems. Journal of the Operations Research Society of China.
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Francesco Caruso, M. Beatrice Lignola & Jacqueline Morgan. 2020. Bilevel Optimization. Bilevel Optimization 77 138 .
Maria Carmela Ceparano & Jacqueline Morgan. (2017) Equilibrium selection in multi-leader-follower games with vertical information. TOP 25:3, pages 526-543.
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M. Beatrice Lignola & Jacqueline Morgan. (2017) Inner Regularizations and Viscosity Solutions for Pessimistic Bilevel Optimization Problems. Journal of Optimization Theory and Applications 173:1, pages 183-202.
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Abdelmalek Aboussoror, Samir Adly & Fatima Ezzahra Saissi. (2016) Strong-Weak Nonlinear Bilevel Problems: Existence of Solutions in a Sequential Setting. Set-Valued and Variational Analysis 25:1, pages 113-132.
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A. Aboussoror, S. Adly & F. E. Saissi. (2017) An Extended Fenchel--Lagrange Duality Approach and Optimality Conditions for Strong Bilevel Programming Problems. SIAM Journal on Optimization 27:2, pages 1230-1255.
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M. Beatrice Lignola & Jacqueline Morgan. (2015) A method to bypass the lack of solutions in MinSup problems under quasi-equilibrium constraints. Optimization Letters 10:4, pages 833-846.
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Abdelmalek Aboussoror & Abdelatif Mansouri. (2008) Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems . RAIRO - Operations Research 42:2, pages 87-103.
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GIUSEPPE DE MARCO & JACQUELINE MORGAN. (2012) FRIENDLINESS AND RECIPROCITY IN EQUILIBRIUM SELECTION. International Game Theory Review 10:01, pages 53-72.
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Jacqueline Morgan & Vincenzo Scalzo. (2007) Pseudocontinuous functions and existence of Nash equilibria. Journal of Mathematical Economics 43:2, pages 174-183.
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Lina Mallozzi & Jacqueline Morgan. 2006. Optimization with Multivalued Mappings. Optimization with Multivalued Mappings 97 107 .
Jacqueline Morgan & Vincenzo Scalzo. (2004) New results on value functions and applications to MaxSup and MaxInf problems. Journal of Mathematical Analysis and Applications 300:1, pages 68-78.
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J. Morgan & V. Scalzo. (2004) Pseudocontinuity in Optimization and Nonzero-Sum Games. Journal of Optimization Theory and Applications 120:1, pages 181-197.
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A. Marhfour. (2000) Mixed Solutions for Weak Stackelberg Problems: Existence and Stability Results. Journal of Optimization Theory and Applications 105:2, pages 417-440.
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Pierre Loridan & Jacqueline Morgan. 2000. Vector Variational Inequalities and Vector Equilibria. Vector Variational Inequalities and Vector Equilibria 335 350 .
M. B. Lignola & J. Morgan. (1999) Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations. Journal of Optimization Theory and Applications 101:1, pages 213-220.
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Roberto Raucci. (1998) Problemi gerarchici di punti di Nash: Esistenza e approssimazione nel caso di unicita al livello inferiore. Rendiconti del Circolo Matematico di Palermo 47:1, pages 113-128.
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Maria Beatrice Lignola & Jacqueline Morgan. 1998. Multilevel Optimization: Algorithms and Applications. Multilevel Optimization: Algorithms and Applications 315 332 .
Jacqueline Morgan & Roberto Raucci. (1997) Continuity Properties of ε-Solutions for Generalized Parametric Saddle Point Problems and Application to Hierarchical Games. Journal of Mathematical Analysis and Applications 211:1, pages 30-48.
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M. B. Lignola & J. Morgan. (1997) Stability of Regularized Bilevel Programming Problems. Journal of Optimization Theory and Applications 93:3, pages 575-596.
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L. Mallozzi & J. Morgan. (1997) Existence of a feedback equilibrium for two-stage Stackelberg games. IEEE Transactions on Automatic Control 42:11, pages 1612-1614.
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Pierre Loridan & Jacqueline Morgan. (1996) Weak via strong Stackelberg problem: New results. Journal of Global Optimization 8:3, pages 263-287.
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Roberto Raucci. (1996) Alcune nuove nozioni di semicontinuità per multifunzioni. Rivista di Matematica per le Scienze Economiche e Sociali 19:1-2, pages 3-14.
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Mallozzi Lina & Morgan Jacqueline. 1996. Nonlinear Optimization and Applications. Nonlinear Optimization and Applications 271 282 .
M. B. Lignola & J. Morgan. (1995) Topological existence and stability for stackelberg problems. Journal of Optimization Theory and Applications 84:1, pages 145-169.
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L. Mallozzi & J. Morgan. (1993) ?-Mixed strategies for static continuous-kernel stackelberg games. Journal of Optimization Theory and Applications 78:2, pages 303-316.
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