TY - JOUR
ID - 5515
TI - On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Kazemi, Manochehr
AD - Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 451
EP - 466
KW - Functional integral equations
KW - Existence of solution
KW - Measures of noncompactness
KW - Petryshyn's fixed point theorem
DO - 10.22075/ijnaa.2021.23635.2570
N2 - In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem inBanach space. The results obtained in this paper cover many existence results obtained by numerousauthors under some weaker conditions. We also give an example satisfying the conditions of our maintheorem but not satisfying the conditions described by other authors.
UR - https://ijnaa.semnan.ac.ir/article_5515.html
L1 - https://ijnaa.semnan.ac.ir/article_5515_5e731d50928adc39ed179ae5e06b29cf.pdf
ER -