Some Fixed Point Theorems for R˜n-Contraction and R˜n-Kannan Mappings in Metric Spaces

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Published: Sep 6, 2021
Keywords:
Fixed point Metric spaces b-metric spaces R˜n-contraction R˜n-function

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Thanatporn Bantaojai
Mathematics English Program, Faculty of Education, Valaya Alongkorn Rajabhat University under the Royal Patronage, Pathum Thani 13180, Thailand
Chatsuda Chanmanee
Program of Mathematics, Faculty of Science and Technology, Kamphaengphet Rajabhat University, Kamphaengphet 62000,Thailand
Patchara Muangkarn
Program of Mathematics, Faculty of Science and Technology, Kamphaengphet Rajabhat University, Kamphaengphet 62000,Thailand
Cholatis Suanoom
Program of Mathematics, Faculty of Science and Technology, Kamphaengphet Rajabhat University, Kamphaengphet 62000,Thailand

Abstract

The purpose of this paper is to extend and improve some results concerning of R′-max-Kannan and R′′-Kannan mappings to R˜n-contraction and R˜n Kannan mappings. Second, we establish new mapping, that is a R˜n contraction and R˜n-Kannan mappings. More than that, we prove the results of fixed point for such mappings in metric spaces.

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How to Cite
Thanatporn Bantaojai, Chatsuda Chanmanee, Patchara Muangkarn, & Suanoom, C. (2021). Some Fixed Point Theorems for R˜n-Contraction and R˜n-Kannan Mappings in Metric Spaces. Science & Technology Asia, 26(3), 14–21. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/241464
Issue
Vol.26 No.3 (July-September 2021)
Section
Physical sciences