Second-Order Optimality Conditions for Constrained Optimization Problems with $$C^1$$ C 1 Data Via Regular and Limiting Subdifferentials

Mohammad Taghi Nadi () and Jafar Zafarani ()
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Mohammad Taghi Nadi: University of Isfahan
Jafar Zafarani: Sheikhbahaee University and University of Isfahan

Journal of Optimization Theory and Applications, 2022, vol. 193, issue 1, No 10, 158-179

Abstract: Abstract We present the second-order point-based (necessary and sufficient) optimality conditions for nonlinear programming with continuously differentiable data, via the regular and limiting (Mordukhovich) second-order subdifferentials. The sharper results are obtained for $$C^{1,1}$$ C 1 , 1 data. Also, we derive a second-order characterization for (strictly and strongly) pseudoconvex, continuously differentiable functions.

Keywords: Pseudomonotonicity at a point; Second-order optimality conditions; Nonlinear programming; Tilt-stable local minimum (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-021-01890-3

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