Rectangular b-metric space and contraction principles

  • R. George
  • , S. Radenović
  • , K. P. Reshma
  • , S. Shukla

Research output: Contribution to journalArticlepeer-review

181 Scopus citations

Abstract

The concept of rectangular b-metric space is introduced as a generalization of metric space, rectangular metric space and b-metric space. An analogue of Banach contraction principle and Kannan’s fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.

Original languageEnglish
Pages (from-to)1005-1013
Number of pages9
JournalJournal of Nonlinear Science and Applications
Volume8
Issue number6
DOIs
StatePublished - 10 Aug 2015
Externally publishedYes

Keywords

  • b-metric space
  • Fixed points
  • Rectangular b-metric space
  • Rectangular metric space

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