SavedAdd your journal

Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2002 / Cilt: 3 - Sayı: 3

Maximal convex continuation for convex, compact set valued maps

Konveks, kompakt küme değerli dönüşümler için maksimal konveks devam

Serkan DÜZCE
Khalig G. GUSEINOV
Orhan ÖZER
Pages
383–388
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results obtained for existence of convex continuation, are employed for studying some problems in differential inclusion theory as a tool.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the existence of the maximal convex continuation of the convex, compact set valued maps is investigated.
📊
Key Findings & Data:In this study, the existence of the maximal convex continuation of the convex, compact set valued maps is investigated.
💡
Conclusion & Impact:The results obtained for existence of convex continuation, are employed for studying some problems in differential inclusion theory as a tool.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the existence of the maximal convex continuation of the convex, compact set valued maps is investigated. The results obtained for existence of convex continuation, are employed for studying some problems in differential inclusion theory as a tool.

Özet

Bu çalışmada, konveks, kompakt küme değerli dönüşümlerin maksimal konveks devamı araştırılmıştır. Konveks devam kavramı ile ilgili sonuçlar diferansiyel içermeler teorisinin bazı problemlerinin araştırılmasında bir araç olarak kullanılmaktadır.

🔖

Cite This Article

DÜZCE, S., GUSEINOV, K. G., ÖZER, O. (2022). Maximal convex continuation for convex, compact set valued maps. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 383–388. https://ajindex.com/articles/438495

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (7)

  1. Aubin, J.P. ve Prankowska, H. (1990)
  2. Set Valued Analysis. Birkhauser, Boston. Clarke, F.H., Ledyaev, Yu.S., Stern, R.J. ve Wolenski, P.R. (1998) Nonsmooth Analysis and Control Theory. Springer, New York. Guseinov, Kh.G., Özer, O. ve Düzce, S.A. (1999) On the Convex Continuation of the Convex Compact Multivalued Map. XII. Ulusal Matematik Sempozyumu Bildirilen, Malatya, Turkey, 27-30. (In Engl.) Guseinov, Kh.G., Özer, O. ve Düzce, S.A. (2001) On Convexity Properties of Set Valued Maps. Abstracts of the International Conference on Applicable General Topology, Ankara, Turkey, 19-20.
  3. Guseinov, Kh. G., Ozer, O. ve Duzce, S.,(2002) On the inverse problem of the differential inclusion theory. ISDG2002,
  4. Vol. I, II (St. Petersburg), St. Petersburg State Univ. Inst. Chem., St. Petersburg, 353-358.
  5. Guseinov, Kh. G., Ozer, O. ve Duzce, S. (2003) On The Construction of Differential Inclusion with Prescribed Integral Funnel, Mathematical &; Computational Applications 8(1), 119-126.
  6. Guseinov, Kh.G., Subbotin, A.I. ve Ushakov, V.N. (1985) Derivatives for multivalued mappings with applications to game-theoretical problems of control. Problems of Control and Information Theory 14(3), 155-167.
  7. Guseinov, Kh.G. ve Ushakov, V.N. (2000) The Construction of Differential Inclusions with Prescribed Properties. Differential Equations 36(4), 488-496.