Some Common Fixed Point on Generalized Cyclic Contraction Mappings with Implicit Relation and Its Applications

Authors

  • Nantaporn Chuensupantharat 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

DOI:

https://doi.org/10.26713/cma.v7i3.420

Keywords:

Cyclic contraction, Multivalued mapping, Implicit function

Abstract

From the concept of cyclic relation, we introduced the generalized cyclic contraction with respect to multi-valued mappings under implicit relation and obtained some common fixed point theorem in complete metric spaces. In addition, some examples and applications are presented to demonstrate our results.

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References

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Published

14-11-2016
CITATION

How to Cite

Chuensupantharat, N., & Kumam, P. (2016). Some Common Fixed Point on Generalized Cyclic Contraction Mappings with Implicit Relation and Its Applications. Communications in Mathematics and Applications, 7(3), 199–206. https://doi.org/10.26713/cma.v7i3.420

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Section

Research Article