Application of Banach Contraction Principle in Complex Valued Rectangular b-Metric Space

Abstract

In this paper, we introduce the new generalization of metric space called complex valued rectangular b-metric space. This space generalize the triangle inequality properties to rectangular inequality with a constant s ≥ 1 and partial order concept in complex numbers. We also give a real example of Banach contraction principle in complex valued rectangular b-metric space at linear equation system, especially in electrical circuit.