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On Strict Converse Duality In Nonlinear Programming

A. Mond, Richard R. Egudo

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Abstract

Recently, Gulati and Craven gave a strict converse duality theorem for some of the Mond-Weir duals for non-linear programming problems. Here, we show that strict converse duality holds with weaker convexity conditions.

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What this paper is about

Recently, Gulati and Craven gave a strict converse duality theorem for some of the Mond-Weir duals for non-linear programming problems. Here, we show that strict converse duality holds with weaker convexity conditions.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Recently, Gulati and Craven gave a strict converse duality theorem for some of the Mond-Weir duals for non-linear programming problems. Here, we show that strict converse duality holds with weaker convexity conditions.

Key concepts: Converse, Dual polyhedron, Wolfe duality, Duality (order theory), Weak duality, Strong duality, Duality gap, Convexity

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