LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints
Joint Authors
Khanh, Phan Quoc
Sombut, Kamonrat
Plubtieng, Somyot
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The purpose of this paper is introduce several types of Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Base on criterion and characterizations for these types of Levitin-Polyak well-posedness we argue on diameters and Kuratowski’s, Hausdorff’s, or Istrǎtescus measures of noncompactness of approximate solution sets under suitable conditions, and we prove the Levitin-Polyak well-posedness for bilevel vector equilibrium and optimization problems with equilibrium constraints.
Obtain a gap function for bilevel vector equilibrium problems with equilibrium constraints using the nonlinear scalarization function and consider relations between these types of LP well-posedness for bilevel vector optimization problems with equilibrium constraints and these types of Levitin-Polyak well-posedness for bilevel vector equilibrium problems with equilibrium constraints under suitable conditions; we prove the Levitin-Polyak well-posedness for bilevel equilibrium and optimization problems with equilibrium constraints.
American Psychological Association (APA)
Khanh, Phan Quoc& Plubtieng, Somyot& Sombut, Kamonrat. 2014. LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034004
Modern Language Association (MLA)
Khanh, Phan Quoc…[et al.]. LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1034004
American Medical Association (AMA)
Khanh, Phan Quoc& Plubtieng, Somyot& Sombut, Kamonrat. LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1034004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034004