Existence of Weak Efficient Solutions of Set-Valued Optimization Problems

Fatemeh Fakhar; Hamid Reza Hajisharifi; Zeinab Soltani

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arXiv · 2311.07927

Existence of Weak Efficient Solutions of Set-Valued Optimization Problems

Fatemeh Fakhar·Hamid Reza Hajisharifi·Zeinab Soltani

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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.

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BibTeX RIS

Fatemeh Fakhar, Hamid Reza Hajisharifi, Zeinab Soltani. 2023-11-14. Existence of Weak Efficient Solutions of Set-Valued Optimization Problems. https://arxiv.org/abs/2311.07927

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