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Jianzhon Zhang, C. Wan, N. Xiu (2003)
The Dual Gap Function for Variational InequalitiesApplied Mathematics and Optimization, 48
Graham Romp (1997)
Game Theory: Introduction and Applications
A. Shapiro (1985)
Second-Order Derivatives of Extremal-Value Functions and Optimality Conditions for Semi-Infinite ProgramsMath. Oper. Res., 10
J. Danskin (1967)
The Theory of Max-Min and its Application to Weapons Allocation Problems
Xiaoling Sun, Duan Li, K. McKinnon (2005)
On Saddle Points of Augmented Lagrangians for Constrained Nonconvex OptimizationSIAM J. Optim., 15
R. Boț, G. Wanka (2005)
Farkas-Type Results With Conjugate FunctionsSIAM J. Optim., 15
Jinchuan Zhou, Changyu Wang, N. Xiu, Soon-Yi Wu (2009)
FIRST-ORDER OPTIMALITY CONDITIONS FOR CONVEX SEMI-INFINITE MIN-MAX PROGRAMMING WITH NONCOMPACT SETSJournal of Industrial and Management Optimization, 5
J. Bonnans, A. Shapiro (2000)
Perturbation Analysis of Optimization Problems
Changyu Wang, Xiaoqi Yang, Xinmin Yang (2005)
Optimal value functions of generalized semi-infinite min-max programming on a noncompact setScience in China Series A: Mathematics, 48
J.P. Aubin, H. Frankowska (1990)
Set-Valued Analysis
R. Rockafellar (1984)
Directional differentiability of the optimal value function in a nonlinear programming problem
R.T. Rockafellar (1970)
Convex analysis
Hans Frenk, P. Kas, G. Kassay (2007)
On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax TheoryJournal of Optimization Theory and Applications, 132
R.T. Rockafellar, R.J. Wets (1998)
Variational analysis
F. Facchinei, J. Pang (2003)
Finite-Dimensional Variational Inequalities and Complementarity Problems
B. Ricceri, S. Simons (1998)
Minimax theory and applications
E. Polak (1997)
Optimization: Algorithms and Consistent Approximations
In this paper, we study the directional derivative, subderivative, and subdifferential of sup-type functions without any compactness assumption on the index set. As applications, we provide an estimate of the Lipschitz modulus for sup-type functions.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 17, 2009
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