SavedAdd your journal

Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: 2

On Fixed Point Results for Multivalued Operators in 𝒃𝟐 Metric Spaces

𝒃𝟐 Metrik Uzayında Çok Değişkenli Operatörler için Sabit Nokta Sonuçları Üzerine

Fatma AYDIN AKGÜN
Pages
477–482
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)

Moreover, an example is given to illustrate the main theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to establish fixed point theorem for multivalued operators in 𝑏2 -metric space and generalize the results of Chifu and Petruşel (2017) and Yihao, Ren, and Zhong (2018).
📊
Key Findings & Data:The aim of this paper is to establish fixed point theorem for multivalued operators in 𝑏2 -metric space and generalize the results of Chifu and Petruşel (2017) and Yihao, Ren, and Zhong (2018).
💡
Conclusion & Impact:Moreover, an example is given to illustrate the main theorem.
🔬Design:Research Article
📍Scope:2017 Verileri
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to establish fixed point theorem for multivalued operators in 𝑏2 -metric space and generalize the results of Chifu and Petruşel (2017) and Yihao, Ren, and Zhong (2018). Moreover, an example is given to illustrate the main theorem.

Özet

Bu çalışmanın amacı, 𝑏2 -metrik uzayında çok değişkenli operatörler için sabit nokta teoremi oluşturmak ve Chifu ve Petruşel (2017) ve Yihao, Ren ve Zhong (2018) sonuçlarını genelleştirmektir. Ayrıca, ana teoremi göstermek için bir örnek verilmiştir.

🔖

Cite This Article

AKGÜN, F. A. (2022). On Fixed Point Results for Multivalued Operators in 𝒃𝟐 Metric Spaces. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: 2, 477–482. https://ajindex.com/articles/505448

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Aliouche, A. and Simpson, C. 2012. “Fixed points and lines in 2-metric spaces”, Advances in Mathematics. 229. Bakhtin, I.A. 1989. “The contraction mapping principle in quasimetric spaces”, Funct. Anal. Unianowsk Gos. Ped. Inst., 30, 26–37.
  2. Banach, S. 1922. “Sur les opérations dans les ensembles abstraits et leurs applications”, Fund. Math. 3, 133–181.
  3. Chifu, C. and Petruşel, G. 2017. “Fixed Point results for multivalued HardyRogers Contractions in bMetric Spaces”, Filomat, 31(8), 2499–2507.
  4. Cui, J., Zhao J. and Zhong L. 2017. “Unique common fixed point in b2 metric spaces”, Open Access Library Journal, 4, 1–8.
  5. Czerwik, S. 1993. “Contraction mappings in b-metric spaces”, Acta Math. Inf. Univ. Ostraviensis, 1, 5–11.
  6. Demma, M., Saadati,R. and Vetro, P. 2016. “Fixed Point results on b-metric space via Picard sequences and b-simulation functions”,Iranian Journal of Mathematical Sciences and Informatics, 11, 123–136.
  7. Dung, N.V. and Le Hang, V.T. 2013. “Fixed point theorems for weak C-contractions in partially ordered 2-Metric spaces”, Fixed Point Theory and Applications, 161. Fadail, Z., Ahmad, A., Ozturk, V., Radenovic, S. 2015. “Some remarks on fixed point results of b2-metric spaces”, Far East Journal of Mathematical Sciences, 180, 97(5), 533–548. Gähler, S. 1963. "2-metrische Räume und ihre topologische Struktur", Mathematische Nachrichten, vol. 26, pp. 115-148.
  8. Girgin, E., Öztürk, M. 2019. “Modified Suzuki-Simulation Type Contractive Mapping in Non-Archimedean Quasi Modular Metric Spaces and Application to Graph Theory”, Mathematics, 7,769. Girgin, E., Öztürk, M. 2019. “(α, β)−ψ−Type Contraction in Non-Archimedean Quasi Modular Metric Spaces and Applications”, Journal of Mathematical Analysis,10,1, 19- 30. Hardy, G. E. and Rogers, T. D. 1973. “A generalization of fixed point theorem of Reich”, Canad. Math. Bull., 16, 201–208.
  9. Mustafa, Z., Parvaneh, V., Roshan, J. and Kadelburg, Z. 2014. “b-2 metric spaces and some fixed point theorems”, Fixed Point Theory and Applications, 23 page, 10.1186/1687-1812-2014-144.
  10. Piao, Y. J. 2013. “Common fixed points for two mappings satisfying some expansive conditions on 2-metric spaces”, Journal of systems Science and Mathematical Sciences, 33, 1370–1379.
  11. Rockafellar, R. Tyrrell, W., Roger J-B, 2005, “Variational Analysis”, SpringerVerlag, p. 117. Suzuki, T.A. 2018. “Generalization of Hegeu¨s-Szila´gyi’s Fixed Point Theorem in Complete Metric Spaces”, Fixed Point Theorem and Applications, 1, 1–10.
  12. Yihao, S., Ren, J. and Zho