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On New Extensions of Darbo's Fixed Point Theorem with Applicationsopen access
- Authors
- Isik, Huseyin; Banaei, Shahram; Golkarmanesh, Farhan; Parvaneh, Vahid; Park, Choonkil; Khorshidi, Maryam
- Issue Date
- Mar-2020
- Publisher
- MDPI
- Keywords
- fixed point; complete metric space; measure of non-compactness; integral equation
- Citation
- SYMMETRY-BASEL, v.12, no.3, pp.1 - 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- SYMMETRY-BASEL
- Volume
- 12
- Number
- 3
- Start Page
- 1
- End Page
- 11
- Abstract
- In this paper, we extend Darbo's fixed point theorem via weak JS-contractions in a Banach space. Our results generalize and extend several well-known comparable results in the literature. The technique of measure of non-compactness is the main tool in carrying out our proof. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)