On an Open Problem in Complex Valued Rectangular b-Metric Spaces with an Application

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Published: Jun 29, 2022
Keywords:
Fixed point Contraction mapping Rectangular b-metric spaces Integral equation Fredholm type

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Cholatis Suanoom
Program of Mathematics, Faculty of Science and Technology, Kamphaengphet Rajabhat University, Kamphaengphet 62000, Thailand
Wongvisarut Khuangsatung
Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathum Thani 12110, Thailand
Thanatporn Bantaojai
Mathematics English Program, Faculty of Education, Valaya Alongkorn Rajabhat University under the Royal Patronage, Pathum Thani 13180, Thailand

Abstract

The purpose of the paper is to solve problem 1. Moreover, we prove fixed point theorems for contraction mappings in complete rectangular b-metrics and give examples as a satisfying the theorems in such spaces and give examples as a satisfying the theorems in rectangular b-metric spaces. Finally, we apply our result to examine the existence and uniqueness of solution for a system of Fredholm integral equation.

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How to Cite
Suanoom, C. ., Khuangsatung, W. ., & Bantaojai, T. (2022). On an Open Problem in Complex Valued Rectangular b-Metric Spaces with an Application. Science & Technology Asia, 27(2), 78–83. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/241485
Issue
Vol.27 No.2 (April-June 2022)
Section
Physical sciences
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