Geodesic
An extension of Darbo's theorem via measure of non-compactness with its application in the solvability of a system of integral equations
Filomat, Tome 33 (2019) no. 19, p. 6315

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this work, we present a new extension of Darbo's theorem for two different classes of altering distance functions via measure of non-compactness. Using two-variable contractions we obtain the well-known results in this literature (see [22]). We also use these results to discuss the existence of solutions for a system of integral equations. Finally, we provide an example to confirm the results obtained
DOI : 10.2298/FIL1919315M
Classification : 47H08, 45G15, 47H10
Keywords: Measure of non-compactness, Systems of nonlinear integral equations, fixed point theorems 
Behnam Matani; Jamal Rezaei Roshan; Nawab Hussain. An extension of Darbo's theorem via measure of non-compactness with its application in the solvability of a system of integral equations. Filomat, Tome 33 (2019) no. 19, p. 6315 . doi: 10.2298/FIL1919315M
@article{10_2298_FIL1919315M,
     author = {Behnam Matani and Jamal Rezaei Roshan and Nawab Hussain},
     title = {An extension of {Darbo's} theorem via measure of non-compactness with its application in the solvability of a system of integral equations},
     journal = {Filomat},
     pages = {6315 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919315M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919315M/}
}
TY  - JOUR
AU  - Behnam Matani
AU  - Jamal Rezaei Roshan
AU  - Nawab Hussain
TI  - An extension of Darbo's theorem via measure of non-compactness with its application in the solvability of a system of integral equations
JO  - Filomat
PY  - 2019
SP  - 6315 
VL  - 33
IS  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL1919315M/
DO  - 10.2298/FIL1919315M
LA  - en
ID  - 10_2298_FIL1919315M
ER  - 
%0 Journal Article
%A Behnam Matani
%A Jamal Rezaei Roshan
%A Nawab Hussain
%T An extension of Darbo's theorem via measure of non-compactness with its application in the solvability of a system of integral equations
%J Filomat
%D 2019
%P 6315 
%V 33
%N 19
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL1919315M/
%R 10.2298/FIL1919315M
%G en
%F 10_2298_FIL1919315M

Cité par Sources :