Optimality and scalarization for approximate Benson proper efficient solutions in vector equilibrium problems
Year: 2025
Type: article
Abstract: This paper examines the optimality and scalarization theorems for approximate quasi-Benson proper efficient solutions in constrained vector equilibrium problems. The optimality conditions are established based on the generalized convexity and convex separation theorems. Additionally, two scalarization theorems are developed by combining the cone scalarization function with the properties of generating cones. The proposed definitions and conclusions are supported by specific numerical examples.
Source: AIMS Mathematics
DOI: 10.3934/math.2025813
Authors: Shan Cai, Shengxin Hua, Xiaoping Li
Institutions: Xiangnan University, Xiangtan University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
OpenAlex ID: W4413169317