Open AccessApplication of Banach Contraction Principle in Complex Valued Rectangular b-Metric Space
Author(s) -
Sunarsini,
Aufa Biahdillah,
Sentot Didik Surjanto
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1490/1/012003
Subject(s) - contraction principle , mathematics , contraction (grammar) , metric space , pure mathematics , banach space , contraction mapping , metric differential , mathematical analysis , metric (unit) , generalization , space (punctuation) , discrete mathematics , intrinsic metric , injective metric space , computer science , medicine , operations management , economics , operating system
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.