Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2

C*-ALGEBRA-VALUED S-METRIC SPACES

C*-ALGEBRA-VALUED S-METRIC SPACES

Cihangir ALACA, Meltem ERDEN EGE

Sayfa
165–177
DOI
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Abstract

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