Geodesic
On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations
Filomat, Tome 35 (2021) no. 14, p. 4897

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In this paper, an extension of Darbo's fixed point theorem via the concept of operators A(f ; .) and θ-ω-contractions in a Banach space has been presented. We illustrate that some conditions of control functions ϑ and ω 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
DOI : 10.2298/FIL2114897P
Classification : 47H08, 47H10
Keywords: Fixed point, measure of noncompactness, tripled fixed point, integral equations 
Vahid Parvaneh; Shahram Banaei; Jamal R Roshan; M Mursaleen. On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations. Filomat, Tome 35 (2021) no. 14, p. 4897 . doi: 10.2298/FIL2114897P
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     author = {Vahid Parvaneh and Shahram Banaei and Jamal R Roshan and M Mursaleen},
     title = {On tripled fixed point theorems via measure of noncompactness with applications to a system of fractional integral equations},
     journal = {Filomat},
     pages = {4897 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114897P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114897P/}
}
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