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Fixed point results for a new contraction mapping with integral and fractional applicationsopen access
- Authors
- Hammad, Hasanen A.; Aydi, Hassen; Park, Choonkil
- Issue Date
- Jun-2022
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- fixed point technique; non-triangular metric space; Fredholm integral equation; fractional differential
- Citation
- AIMS MATHEMATICS, v.7, no.8, pp.13856 - 13873
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 8
- Start Page
- 13856
- End Page
- 13873
- ISSN
- 2473-6988
- Abstract
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)