Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Joint Authors

Wang, Qilin
Yu, Guolin

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-29

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps.

By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems.

The results obtained improve the corresponding results in the literature.

American Psychological Association (APA)

Wang, Qilin& Yu, Guolin. 2011. Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-471913

Modern Language Association (MLA)

Wang, Qilin& Yu, Guolin. Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency. Abstract and Applied Analysis No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-471913

American Medical Association (AMA)

Wang, Qilin& Yu, Guolin. Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-471913

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-471913