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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Volume: 67 Issue: 2

MELTEM ERDEN EGE AND CIHANGIR ALACA

Meltem Erden Ege
Cihangir Alaca
Sayfa
—
Yayın Tarihi
2018-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we prove a common fixed point theorem in C*-algebra-valued S-metric spaces defining new notions such as L-condition and k-contraction.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we present the concept of a C*-algebra-valued Smetric space.
📊
Temel Bulgular & Veri:We prove Banach contraction principle in this space.
💡
Sonuç & Katkı:Finally, we prove a common fixed point theorem in C*-algebra-valued S-metric spaces defining new notions such as L-condition and k-contraction.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fixed point · C*-algebra · S-metric

Abstract

In this study, we present the concept of a C*-algebra-valued Smetric space. We prove Banach contraction principle in this space. Finally, we prove a common fixed point theorem in C*-algebra-valued S-metric spaces defining new notions such as L-condition and k-contraction.

🔖

Bu Makaleye Atıf Yap

Ege, M. E., Alaca, C. (2018). MELTEM ERDEN EGE AND CIHANGIR ALACA. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 67 Issue: 2. https://ajindex.com/articles/1470055

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  34. Current address: Meltem ERDEN EGE (Corresponding author): Manisa Celal Bayar Univer- sity, Institute of Natural and Applied Sciences, Department of Mathematics, Yunusemre 45140 Manisa, Turkey
  35. E-mail address: [email protected] ORCID Address: Current address: Cihangir ALACA: Manisa Celal Bayar University, Faculty of Science and Arts, Department of Mathematics, Yunusemre 45140 Manisa, Turkey
  36. E-mail address: [email protected] ORCID Address: http://orcid.org/0000-0001-7777-8839
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  40. Current address: Meltem ERDEN EGE (Corresponding author): Manisa Celal Bayar Univer- sity, Institute of Natural and Applied Sciences, Department of Mathematics, Yunusemre 45140 Manisa, Turkey
  41. E-mail address: [email protected] ORCID Address: Current address: Cihangir ALACA: Manisa Celal Bayar University, Faculty of Science and Arts, Department of Mathematics, Yunusemre 45140 Manisa, Turkey
  42. E-mail address: [email protected] ORCID Address: http://orcid.org/0000-0001-7777-8839