Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

Author

Zhang, Jianke

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-10

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

The concepts of preinvex and invex are extended to the interval-valued functions.

Under the assumption of invexity, the Karush-Kuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived.

Based on the concepts of having no duality gap in weak and strong sense, the Wolfe duality theorems for the invex interval-valued nonlinear programming problems are proposed in this paper.

American Psychological Association (APA)

Zhang, Jianke. 2013. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-487503

Modern Language Association (MLA)

Zhang, Jianke. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-487503

American Medical Association (AMA)

Zhang, Jianke. Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-487503

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-487503