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Optimality condition and Wolfe duality for invex interval-valued nonlinear programming problems - MaRDI portal

Optimality condition and Wolfe duality for invex interval-valued nonlinear programming problems (Q1790047)

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scientific article; zbMATH DE number 6950797
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Optimality condition and Wolfe duality for invex interval-valued nonlinear programming problems
scientific article; zbMATH DE number 6950797

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    Optimality condition and Wolfe duality for invex interval-valued nonlinear programming problems (English)
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    10 October 2018
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    Summary: 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.
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