Fixed Point Theorems for $ F_w $-Contractions in Complete $ S $-Metric Spaces

Somkiat Chaipornjareansri

Abstract

In this paper, we define a $ w $-distance on a complete $ S $-metric space, which is a generalization of the concept of the $ w $-distance due to Kada, Suzuki and Takahashi. Also, we introduce the concept of the $ F_w $-contraction in a complete $ S $-metric space and extend the fixed point theorem.