Existence of Weak Efficient Solutions of Set-Valued Optimization Problems

2023/11/14 by Fatemeh Fakhar, Fakhar, Fatemeh, H. R. Hajisharifi +3
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2311.07927

openalex publication_date 2023/11/14 · openalex created_date 2023/11/16 · openalex updated_date 2026/07/28

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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