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

Jianke Zhang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/641345

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:641345

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