Complete Duality for Quasiconvex and Convex Set-Valued Functions

2014/05/01 by Samuel Drapeau, Drapeau, Samuel, Andreas H. Hamel +3
Computer Science · Mathematics · #46A20 #49N15 #FOS: Mathematics #Functional Equations Stability Results #Fuzzy Systems and Optimization #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1405.0219

openalex publication_date 2014/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper provides an unique dual representation of set-valued lower semi-continuous quasiconvex and convex functions. The results are based on a duality result for increasing set valued functions.

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