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Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A calmness condition for a general multiobjective optimization problem with equilibrium constraints is proposed.
Some exact penalization properties for two classes of multiobjective penalty problems are established and shown to be equivalent to the calmness condition.
Subsequently, a Mordukhovich stationary necessary optimality condition based on the exact penalization results is obtained.
Moreover, some applications to a multiobjective optimization problem with complementarity constraints and a multiobjective optimization problem with weak vector variational inequality constraints are given.
American Psychological Association (APA)
Zhu, Shengkun& Li, Shengjie. 2014. Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014390
Modern Language Association (MLA)
Zhu, Shengkun& Li, Shengjie. Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1014390
American Medical Association (AMA)
Zhu, Shengkun& Li, Shengjie. Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014390