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Non-differentiable second-order mixed symmetric duality with cone constraints

Keywords: symmetric duality , mixed second-order duality , second-order (F , ) convexity/pseudo-convexity , non-differentiable programming , cone constraints

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Abstract:

A pair of mixed non-differentiable second-order symmetric dual programmesover cones is considered. Weak, strong and converse duality theorems are establishedunder second-order (F, ) convexity/pseudo-convexity assumptions. Special cases arealso discussed to show that this paper extends some known results in the literature.

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