New generalization of geodesic convex function

2022/12/14 by Ohud Bulayhan Almutairi andWedad Saleh, Saleh, Ohud Bulayhan Almutairi andWedad
Computer Science · Decision Sciences · #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Metric Geometry (math.MG) #Multi-Criteria Decision Making #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2212.11153

openalex publication_date 2022/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As a generalization of geodesic function, this paper introduces the notion of geodesic φ_E -convex function. Some properties of φ_E -convex function and geodesic φ_E -convex function are established. The concepts of geodesic φ_E -convex set and φ_E -epigraph are equally given. The characterization of geodesic φ_E -convex functions in terms of their φ_E -epigraphs are also obtained.

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