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Article detail · 2021

Radon's and Helly's Theorems for B-1-Convex Sets

FILOMAT

YÖKSİS OpenAlex Open access · diamond SJR Q2 JCR Q2 Citations 0 Percentile 20.8% FWCI 0.0
Year
2021
ISSN
0354-5180
Type
article

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  • YÖKSİS YÖKSİS article record
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

Abstract

English (OpenAlex)

Helly?s, Radon?s, and Caratheodory?s theorems are the basic theorems of convex analysis and have an important place. These theorems have been studied by different authors for different classes of convexity. Caratheodory?s theorem for B-1 - convex sets has been proved before by Adilov and Ye?ilce. In this article, Helly?s and Radon?s theorems are discussed and examined for these sets.

Topics

  • Optimization and Variational Analysis
  • Advanced Banach Space Theory
  • Functional Equations Stability Results

Primary topic Optimization and Variational Analysis

Authors

  1. SERAP KEMALİ
  2. İLKNUR YEŞİLCE IŞIK AKSARAY ÜNİVERSİTESİ
  3. GABİL ADİLOV