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Some saddle-point theorems for vector-valued functions

Author

Listed:
  • Nguyen Xuan Hai

    (Posts and Telecommunications Institute of Technology)

  • Nguyen Hong Quan

    (Posts and Telecommunications Institute of Technology)

  • Vo Viet Tri

    (Thu Dau Mot University)

Abstract

This paper concerns with vector saddle point problems where the image space of the objective bifunction is not endowed with any topology and the orders in the image space are defined from general sets. Some new existence results of vector saddle points are established based on using notions of vector-cyclic quasimonotonicity together with notions of “algebraic” semicontinuity, without assuming convexity assumptions.

Suggested Citation

  • Nguyen Xuan Hai & Nguyen Hong Quan & Vo Viet Tri, 2023. "Some saddle-point theorems for vector-valued functions," Journal of Global Optimization, Springer, vol. 86(1), pages 141-161, May.
    • Handle: RePEc:spr:jglopt:v:86:y:2023:i:1:d:10.1007_s10898-022-01250-z
    DOI: 10.1007/s10898-022-01250-z
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    References listed on IDEAS

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