Fixed Point Result on Generalized \((\psi,\phi)_s\)-Contractive Mappings in Rectangular \(b\)-Metric Spaces

Authors

  • Pakeeta Sukprasert Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Poom Kumam Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand; KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Dawud Thongtha Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand; KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Kamonrat Sombut Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Rungsit-Nakorn Nayok Rd., Klong 6, Thanyaburi, Pathumthani 12110

DOI:

https://doi.org/10.26713/cma.v7i3.422

Keywords:

Fixed point, Rectangular metric space, Rectangular \(b\)-metric space, partially ordered set, Weak altering distance function

Abstract

The aim of this paper is to present the definition of a weak altering distance function and new generalized contractive mapping in rectangular \(b\)-metric spaces. We discuss the fixed point result of such a mapping in rectangular b-metric spaces.

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References

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Sukprasert, P., Kumam, P., Thongtha, D., & Sombut, K. (2016). Fixed Point Result on Generalized \((\psi,\phi)_s\)-Contractive Mappings in Rectangular \(b\)-Metric Spaces. Communications in Mathematics and Applications, 7(3), 207–216. https://doi.org/10.26713/cma.v7i3.422

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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