Fixed point theorems in controlled J−metric spaces

Abstract

In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.

Keywords

• ixed point
• c_j−metric space
• j−metric spaces