Generalized convexity and concavity of the optimal value function in nonlinear programming

Jerzy Kyparisis; Anthony V. Fiacco

doi:10.1007/bf02592078

Generalized convexity and concavity of the optimal value function in nonlinear programming

Mathematical Programming ◽

10.1007/bf02592078 ◽

1987 ◽

Vol 39 (3) ◽

pp. 285-304 ◽

Cited By ~ 23

Author(s):

Jerzy Kyparisis ◽

Anthony V. Fiacco

Keyword(s):

Nonlinear Programming ◽

Generalized Convexity ◽

Value Function ◽

Optimal Value Function ◽

Optimal Value ◽

Convexity And Concavity

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Convexity and concavity properties of the optimal value function in parametric nonlinear programming

Journal of Optimization Theory and Applications ◽

10.1007/bf00938592 ◽

1986 ◽

Vol 48 (1) ◽

pp. 95-126 ◽

Cited By ~ 58

Author(s):

A. V. Fiacco ◽

J. Kyparisis

Keyword(s):

Nonlinear Programming ◽

Value Function ◽

Optimal Value Function ◽

Optimal Value ◽

Parametric Nonlinear Programming ◽

Convexity And Concavity

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Three kinds of convexity and concavity properties of optimal value function in parametric nonlinear programming

Optimization Letters ◽

10.1007/s11590-011-0290-6 ◽

2011 ◽

Vol 6 (4) ◽

pp. 655-663

Author(s):

Wu Junliang ◽

Wang Yong

Keyword(s):

Nonlinear Programming ◽

Value Function ◽

Optimal Value Function ◽

Optimal Value ◽

Parametric Nonlinear Programming ◽

Convexity And Concavity

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Inner estimates for the generalized gradient of the optimal value function in nonlinear programming

Mathematical Programming Studies - Mathematical Programming at Oberwolfach II ◽

10.1007/bfb0121013 ◽

1984 ◽

pp. 132-146 ◽

Cited By ~ 2

Author(s):

Bernhard Gollan

Keyword(s):

Nonlinear Programming ◽

Value Function ◽

Optimal Value Function ◽

Generalized Gradient ◽

Optimal Value

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b-Subgradients of the optimal value function in nonlinear programming

Optimization ◽

10.1080/02331939208843850 ◽

1992 ◽

Vol 26 (3-4) ◽

pp. 153-163 ◽

Cited By ~ 8

Author(s):

A. Jofre ◽

L. Thibault

Keyword(s):

Nonlinear Programming ◽

Value Function ◽

Optimal Value Function ◽

Optimal Value

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Directional differentiability of the optimal value function in a nonlinear programming problem

Sensitivity, Stability and Parametric Analysis - Mathematical Programming Studies ◽

10.1007/bfb0121219 ◽

1984 ◽

pp. 213-226 ◽

Cited By ~ 64

Author(s):

R. T. Rockafellar

Keyword(s):

Nonlinear Programming ◽

Programming Problem ◽

Value Function ◽

Optimal Value Function ◽

Nonlinear Programming Problem ◽

Directional Differentiability ◽

Optimal Value

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On the (Non-)Differentiability of the Optimal Value Function When the Optimal Solution is Unique

SSRN Electronic Journal ◽

10.2139/ssrn.2373092 ◽

2013 ◽

Author(s):

Daisuke Oyama ◽

Tomoyuki Takenawa

Keyword(s):

Value Function ◽

Optimal Solution ◽

Optimal Value Function ◽

Optimal Value

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Bilevel Optimization Based on Kriging Approximations of Lower Level Optimal Value Function

2018 IEEE Congress on Evolutionary Computation (CEC) ◽

10.1109/cec.2018.8477763 ◽

2018 ◽

Cited By ~ 1

Author(s):

Ankur Sinha ◽

Samish Bedi ◽

Kalyanmoy Deb

Keyword(s):

Value Function ◽

Bilevel Optimization ◽

Optimal Value Function ◽

Optimal Value

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Optimal Value Function

Encyclopedia of Operations Research and Management Science ◽

10.1007/978-1-4419-1153-7_200552 ◽

2013 ◽

pp. 1092-1092

Keyword(s):

Value Function ◽

Optimal Value Function ◽

Optimal Value

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Directional Differentiability of the Optimal Value Function

Nonconvex Optimization and Its Applications - Quadratic Programming and Affine Variational Inequalities ◽

10.1007/0-387-24278-3_14 ◽

2005 ◽

pp. 239-257

Keyword(s):

Value Function ◽

Optimal Value Function ◽

Directional Differentiability ◽

Optimal Value

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Optimal value function

10.1007/springerreference_5909 ◽

2011 ◽

Keyword(s):

Value Function ◽

Optimal Value Function ◽

Optimal Value

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