Work

Generalized Characterization Theorems for Set Relations and an Application to Multi-Valued Optimization

Year: 2024

Type: article

Abstract: This paper proposes relaxed characterization for set relations by scalarization functions and states a generalized Gordan’s theorem of the alternative for set-valued maps. As an application, we introduce some robustness of multi-valued optimization problems together with an algorithm by which its criteria can be calculated.

Source: Minimax Theory and its Applications

Author: Yuto Ogata

Institution: Kanazawa Gakuin University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: Japan Society for the Promotion of Science, Research Institute for Mathematical Sciences

OpenAlex ID: W7215136149

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