A note on the isotonic vector-valued convex functions

2020/05/03 by Constantin P. Niculescu, Niculescu, Constantin P., Octav Olteanu +1
Computer Science · Mathematics · #28B15 #46A22 #47B65 #47H07 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2005.01088

openalex publication_date 2020/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The property of isotonicity of a continuous convex function defined on the entire space or only on the positive cone is characterized via subdifferentials. Numerous examples illustrating the obtained results are included.

Citations

• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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