Open AccessOn tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations
Author(s) -
Vahid Parvaneh,
Shahram Banaei,
Jamal Rezaei Roshan,
M. Mursaleen
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114897p
Subject(s) - mathematics , fixed point theorem , measure (data warehouse) , banach space , fractional calculus , integral equation , fixed point , mathematical analysis , extension (predicate logic) , pure mathematics , computer science , database , programming language
In this paper, an extension of Darbo?s fixed point theorem via the concept of operators A(f;.) and ?-?-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ? and ? can be omitted where they applied previously in [Mohammadi et al., Mathematics, 2020, 8(4), 492]. As an application, we study the existence of solutions for a system of fractional integral equations. Finally, to support the effectiveness of our results, we present an example.