Constrained Extremum Problems and Image Space Analysis—Part II: Duality and Penalization

Shengjie Li; Yangdong Xu; Manxue You; Shengkun Zhu

doi:10.1007/s10957-018-1248-y

Constrained Extremum Problems and Image Space Analysis—Part II: Duality and Penalization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1248-y ◽

2018 ◽

Vol 177 (3) ◽

pp. 637-659 ◽

Cited By ~ 5

Author(s):

Shengjie Li ◽

Yangdong Xu ◽

Manxue You ◽

Shengkun Zhu

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Space Analysis ◽

Extremum Problems ◽

Constrained Extremum Problems

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Constrained Extremum Problems and Image Space Analysis–Part I: Optimality Conditions

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1247-z ◽

2018 ◽

Vol 177 (3) ◽

pp. 609-636 ◽

Cited By ~ 6

Author(s):

Shengjie Li ◽

Yangdong Xu ◽

Manxue You ◽

Shengkun Zhu

Keyword(s):

Optimality Conditions ◽

Image Space Analysis ◽

Image Space ◽

Space Analysis ◽

Extremum Problems ◽

Constrained Extremum Problems

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Some applications of the image space analysis to the duality theory for constrained extremum problems

Journal of Global Optimization ◽

10.1007/s10898-009-9445-8 ◽

2009 ◽

Vol 46 (4) ◽

pp. 603-614 ◽

Cited By ~ 20

Author(s):

G. Mastroeni

Keyword(s):

Duality Theory ◽

Image Space Analysis ◽

Image Space ◽

Space Analysis ◽

Extremum Problems ◽

Constrained Extremum Problems

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Constrained Extremum Problems and Image Space Analysis—Part III: Generalized Systems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1249-x ◽

2018 ◽

Vol 177 (3) ◽

pp. 660-678 ◽

Cited By ~ 3

Author(s):

Shengjie Li ◽

Yangdong Xu ◽

Manxue You ◽

Shengkun Zhu

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Space Analysis ◽

Extremum Problems ◽

Generalized Systems ◽

Constrained Extremum Problems

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Unified Duality Theory for Constrained Extremum Problems. Part I: Image Space Analysis

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0468-4 ◽

2013 ◽

Vol 161 (3) ◽

pp. 738-762 ◽

Cited By ~ 27

Author(s):

S. K. Zhu ◽

S. J. Li

Keyword(s):

Duality Theory ◽

Image Space Analysis ◽

Image Space ◽

Space Analysis ◽

Extremum Problems ◽

Constrained Extremum Problems

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Constrained Extremum Problems, Regularity Conditions and Image Space Analysis. Part II: The Vector Finite-Dimensional Case

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1322-5 ◽

2018 ◽

Vol 177 (3) ◽

pp. 788-810 ◽

Cited By ~ 2

Author(s):

Letizia Pellegrini ◽

Shengkun Zhu

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Dimensional Case ◽

Regularity Conditions ◽

Space Analysis ◽

Extremum Problems ◽

Finite Dimensional ◽

Constrained Extremum Problems ◽

Finite Dimensional Case

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A Unified Approach for Constrained Extremum Problems: Image Space Analysis

Journal of Optimization Theory and Applications ◽

10.1007/s10957-013-0276-x ◽

2013 ◽

Vol 159 (1) ◽

pp. 69-92 ◽

Cited By ~ 16

Author(s):

J. Li ◽

S. Q. Feng ◽

Z. Zhang

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Unified Approach ◽

Space Analysis ◽

Extremum Problems ◽

Constrained Extremum Problems

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Constrained Extremum Problems, Regularity Conditions and Image Space Analysis. Part I: The Scalar Finite-Dimensional Case

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1216-6 ◽

2018 ◽

Vol 177 (3) ◽

pp. 770-787 ◽

Cited By ~ 3

Author(s):

Shengkun Zhu

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Dimensional Case ◽

Regularity Conditions ◽

Space Analysis ◽

Extremum Problems ◽

Finite Dimensional ◽

Constrained Extremum Problems ◽

Finite Dimensional Case

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Introduction to Image Space Analysis

Constrained Optimization and Image Space Analysis - Mathematical Concepts and Methods in Science and Engineering ◽

10.1007/0-387-28020-0_3 ◽

2006 ◽

pp. 143-250

Keyword(s):

Image Space Analysis ◽

Image Space ◽

Space Analysis

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Optimality Conditions and Image Space Analysis for Vector Optimization Problems

Vector Optimization - Recent Developments in Vector Optimization ◽

10.1007/978-3-642-21114-0_6 ◽

2011 ◽

pp. 169-220 ◽

Cited By ~ 10

Author(s):

Giandomenico Mastroeni

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Optimization Problems ◽

Image Space Analysis ◽

Image Space ◽

Vector Optimization Problems ◽

Space Analysis

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Regularity conditions for constrained extremum problems via image space approach: the linear case

Lecture Notes in Economics and Mathematical Systems - Generalized Convexity ◽

10.1007/978-3-642-46802-5_13 ◽

1994 ◽

pp. 145-152 ◽

Cited By ~ 5

Author(s):

P. H. Dien ◽

G. Mastroeni ◽

M. Pappalardo ◽

P. H. Quang

Keyword(s):

Image Space ◽

Linear Case ◽

Regularity Conditions ◽

Extremum Problems ◽

Constrained Extremum Problems ◽

Space Approach

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