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Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces
Authors:Hemant Kumar Nashine  Wasfi Shatanawi
Affiliation:
  • a Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101, Chhattisgarh, India
  • b Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
  • Abstract:The purpose of this paper is to establish a coupled coincidence point for a pair of commuting mappings in partially ordered complete metric spaces. We also present a result on the existence and uniqueness of coupled common fixed points. An example is given to support the usability of our results.
    Keywords:Coupled fixed point  Partially ordered set  Mixed monotone property
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