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

Jianke Zhang

Journal of Applied Mathematics, 2013, vol. 2013, 1-11

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:641345

DOI: 10.1155/2013/641345

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