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

Author

Listed:
  • Mohammad Taghi Nadi

    (University of Isfahan)

  • Jafar Zafarani

    (Sheikhbahaee University and University of Isfahan)

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.

Suggested Citation

  • Mohammad Taghi Nadi & Jafar Zafarani, 2022. "Second-Order Optimality Conditions for Constrained Optimization Problems with $$C^1$$ C 1 Data Via Regular and Limiting Subdifferentials," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 158-179, June.
    • Handle: RePEc:spr:joptap:v:193:y:2022:i:1:d:10.1007_s10957-021-01890-3
    DOI: 10.1007/s10957-021-01890-3
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    Cited by:

    1. Mohammad Taghi Nadi & Jafar Zafarani, 2023. "Second-order characterization of convex mappings in Banach spaces and its applications," Journal of Global Optimization, Springer, vol. 86(4), pages 1005-1023, August.

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