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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 technique; non-triangular metric space; Fredholm integral equation; fractional differential; METRIC SPACES; OPERATORS; THEOREMS
- 제목
- Fixed point results for a new contraction mapping with integral and fractional applications
- 저자
- Hammad, Hasanen A.; Aydi, Hassen; Park, Choonkil
- 발행일
- 2022-06
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 7
- 호
- 8
- 페이지
- 13856 ~ 13873