Some Common Fixed Point Results of Tower Mappings in (Pseudo)modular Metric Spaces

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Abstract

In this paper, we prove the existence and uniqueness of common fixed point of tower type contractive mappings in complete metric (pseudo)modular spaces involving the theoretic relation. However, the newly introduced contraction in this paper further characterize and includes in their full strength several existing results in metrical fixed point theory. Some nontrivial supportive examples were given to justify our result. Our results generalize, improve, and unify some existing results.
Original languageEnglish
Article number896
JournalSymmetry
Volume16
Issue number7
DOIs
StatePublished - Jul 1 2024

Keywords

  • binary relation
  • common fixed point
  • complete metric (pseudo)modular space
  • existence
  • partially ordered
  • tower type contraction mappings
  • uniqueness of fixed point

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