LP Well-Posedness for Bilevel Vector Equilibrium and Optimization Problems with Equilibrium Constraints

Joint Authors

Khanh, Phan Quoc
Sombut, Kamonrat
Plubtieng, Somyot

Source

Abstract and Applied Analysis

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

Mathematics

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