BEST PROXIMITY POINT THEOREMS FOR Fρ-PROXIMAL CONTRACTION IN MODULAR FUNCTION SPACES

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Abstract

In this paper, we introduce Wardowski’s F-contractions in the context of modular function spaces. We also introduce the concept of Fρ-proximal contraction and prove some best proximity point theorems by unifying and generalizing some recent results in modular function spaces. Moreover, we discuss some illustrative examples to highlight the realized improvements.
Original languageEnglish
Pages (from-to)146-164
Number of pages19
JournalAdvances in Fixed Point Theory
Volume9
Issue number2
DOIs
StatePublished - Jan 1 2019

Keywords

  • Best proximity points
  • Modular function space
  • Proximal contraction

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