SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2016 / Cilt: 40 - Sayı: 6

The relation between rough Wijsman convergence and asymptotic cones

Öznur ÖLMEZ
Salih AYTAR
Pages
1349–1355
Publication Date
2022-11-03
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)

In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.
📊
Key Findings & Data:In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.
💡
Conclusion & Impact:In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.

🔖

Cite This Article

ÖLMEZ, Ö., AYTAR, S. (2022). The relation between rough Wijsman convergence and asymptotic cones. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 6, 1349–1355. https://ajindex.com/articles/608101

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Auslender A, Teboulle M. Asymptotic Cones and Functions in Optimization and Variational Inequalities. New York, NY, USA: Springer-Verlag, 2003
  2. Aytar S. The rough limit set and the core of a real sequence. Numer Funct Anal Opt 2008; 29: 283-290
  3. D¨undar E, C¸ akan C. Rough convergence of double sequences. Gulf Journal of Mathematics 2014; 2: 45-51
  4. Fenchel W. Convex cones, sets and functions. Mimeographed notes by D.W. Blackett, Princeton, NJ, USA: Princeton Univ Press, 1953
  5. List´an-Garc´ıa MC, Rambla-Barreno F. A characterization of uniform rotundity in every direction in terms of rough convergence. Numer Funct Anal Opt 2011; 32: 1166-1174
  6. List´an-Garc´ıa MC, Rambla-Barreno F. Rough convergence and Chebyshev centers in Banach spaces. Numer Funct Anal Opt 2014; 35: 432-442
  7. Phu HX. Rough convergence in normed linear spaces. Numer Funct Anal Opt 2001; 22: 201-224
  8. Phu HX. Rough convergence in infinite dimensional normed spaces. Numer Funct Anal Opt 2003; 24: 285-301
  9. Rockafellar RT, Wets RJB. Variational Analysis. Berlin, Germany: Springer, 1997
  10. Steinitz E. Bedingt konvergente Reihen und konvexe Systeme, I, II, III. Journalder Reine und Angewandte Mathematik 1913-16; 143-144-146: 128-175, 1-40, 1-52
  11. Stoker JJ. Unbounded convex sets. Am J Math 1940; 62: 165-179
  12. Sudip KP, Debraj C, Sudipta D. Rough ideal convergence. Hacettepe Journal of Mathematics and Statistics 2013; 42: 633-640
  13. Wijsman RA. Convergence of sequences of convex sets, cones and functions II. Trans Amer Math Soc 1966; 123: 32-45.