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

Authors

  • 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

Keywords:

Fixed point, Metric spaces, b-metric spaces, R˜n-contraction, R˜n-function

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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Published

2021-09-06

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