MELTEM ERDEN EGE AND CIHANGIR ALACA

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.

Keywords:

Fixed point C*-algebra, S-metric,

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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
E-mail address : mltmrdn@gmail.com ORCID Address: Current address : Cihangir ALACA: Manisa Celal Bayar University, Faculty of Science and Arts, Department of Mathematics, Yunusemre 45140 Manisa, Turkey
E-mail address : cihangiralaca@yahoo.com.tr ORCID Address: http://orcid.org/0000-0001-7777-8839

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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