Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

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Abstract

The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued (Formula presented.) -quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of (Formula presented.) -stability, almost (Formula presented.) -stability and summably almost (Formula presented.) -stability to modular function spaces and give some results.
Original languageEnglish
Pages (from-to)75-93
Number of pages19
JournalArab Journal of Mathematical Sciences
Volume26
Issue number1-2
DOIs
StatePublished - Feb 8 2019

Keywords

  • -quasi-contractive mappings
  • Approximation of fixed point
  • Modular function spaces
  • Multivalued mappings
  • Multivalued ρ
  • S-iterative process
  • ρ-T-stable, ρ-almost T-stable, ρ-summably almost T-stable

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