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

  • Hammad, Hasanen A.
  • Aydi, Hassen
  • Park, Choonkil
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초록

The purpose of this manuscript is to present some fixed point results for a Lambda-Ciric 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.

키워드

fixed point techniquenon-triangular metric spaceFredholm integral equationfractional differentialMETRIC SPACESOPERATORSTHEOREMS
제목
Fixed point results for a new contraction mapping with integral and fractional applications
저자
Hammad, Hasanen A.Aydi, HassenPark, Choonkil
DOI
10.3934/math.2022765
발행일
2022-06
유형
Article
저널명
AIMS MATHEMATICS
7
8
페이지
13856 ~ 13873

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