Existence of Weak Efficient Solutions of Set-Valued Optimization Problems

Fatemeh Fakhar; Hamid Reza Hajisharifi; Zeinab Soltani

Existence of Weak Efficient Solutions of Set-Valued Optimization Problems

Optimization and Control 2023-11-15 v1

Authors: Fatemeh Fakhar , Hamid Reza Hajisharifi , Zeinab Soltani

Abstract

In this paper, we consider a new scalarization function for set-valued maps. As the main goal, by using this scalarization function, we obtain some Weierstrass-type theorems for the noncontinuous set optimization problems via the coercivity and noncoercivity conditions. This contribution improves various existing results in the literature.

Keywords

optimization and approximation theory optimization convex optimization

Cite

@article{arxiv.2311.07927,
  title  = {Existence of Weak Efficient Solutions of Set-Valued Optimization Problems},
  author = {Fatemeh Fakhar and Hamid Reza Hajisharifi and Zeinab Soltani},
  journal= {arXiv preprint arXiv:2311.07927},
  year   = {2023}
}

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