MELTEM ERDEN EGE AND CIHANGIR ALACA

Year 2018, Volume: 67 Issue: 2, 165 - 177, 01.08.2018

Meltem Erden Ege Cihangir Alaca

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.

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 : [e-mail] 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 : [e-mail] ORCID Address: http://orcid.org/0000-0001-7777-8839