Fixed point results for a new contraction mapping with integral and fractional applications

Hasanen A. Hammad, Hassen Aydi*, Choonkil Park

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this manuscript is to present some fixed point results for a Λ-Ćirić mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.

Original languageEnglish
Pages (from-to)13856-13873
Number of pages18
JournalAIMS Mathematics
Volume7
Issue number8
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • Fredholm integral equation
  • fixed point technique
  • fractional differential equation
  • non-triangular metric space

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