A study of neutrosophic controlled pentagonal metric space with applications

Gunaseelan Mani, Edwin Antony Raj Michael, Purushothaman Ganesh, Sabri T.M. Thabet, Imed Kedim, Miguel Vivas-Cortez

Research output: Contribution to journalArticlepeer-review

Abstract

In this manuscript, we present the concept of neutrosophic controlled pentagonal metric space (NCPMS), and prove some new fixed point results. Furthermore, we established many interesting outcomes for contraction maps. At last, we show the uniqueness and existence results for fractional differential and integral equations to illustrate the validity of the main outcomes.

Original languageEnglish
Pages (from-to)130-162
Number of pages33
JournalResults in Nonlinear Analysis
Volume7
Issue number3
DOIs
StatePublished - 22 Jul 2024

Keywords

  • fixed point theorem
  • fractional differential equation
  • neutrosophic controlled pentagonal metric space
  • Neutrosophic metric space

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