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On Sub Convexlike Optimization Problems

Author

Listed:
  • Renying Zeng

    (Mathematics Department, Saskatchewan Polytechnic, Saskatoon, SK S7L 4J7, Canada)

Abstract

In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and vector Lagrangian theorems.

Suggested Citation

  • Renying Zeng, 2023. "On Sub Convexlike Optimization Problems," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2928-:d:1183362
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    References listed on IDEAS

    as
    1. Zhi-Ang Zhou & Jian-Wen Peng, 2012. "A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, October.
    2. Yu Zhou & Jin Zhou & Xiao Yang, 2014. "Existence of augmented Lagrange multipliers for cone constrained optimization problems," Journal of Global Optimization, Springer, vol. 58(2), pages 243-260, February.
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