TY - JOUR
ID - 4847
TI - Existence of solutions of system of functional-integral equations using measure of noncompactness
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Nashine, Hemant Kumar
AU - Arab, Reza
AU - Agarwal, Ravi
AD - Department of Mathematics,
School of Advanced Sciences,
Vellore Institute of Technology,
Vellore-632014, TN, INDIA
AD - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
AD - Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
Y1 - 2021
PY - 2021
VL - 12
IS - 1
SP - 583
EP - 595
KW - Fixed point
KW - Coupled fixed point
KW - Measure of noncompactness
KW - Functional-integral equations
DO - 10.22075/ijnaa.2021.4847
N2 - We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for $mu$-set $(omega,vartheta)$-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations.
UR - https://ijnaa.semnan.ac.ir/article_4847.html
L1 - https://ijnaa.semnan.ac.ir/article_4847_3ef2e986f8037f28dfd9791dcb68dbd1.pdf
ER -