TY - JOUR
T1 - An existence theorem for nonlinear functional Volterra integral equations via Petryshyn’s fixed point theorem
AU - Singh, Soniya
AU - Kumar, Satish
AU - Metwali, Mohamed M.A.
AU - Aldosary, Saud Fahad
AU - Nisar, Kottakkaran S.
N1 - Publisher Copyright:
© 2022 the Author(s), licensee AIMS Press.
PY - 2022
Y1 - 2022
N2 - Using the method of Petryshyn’s fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.
AB - Using the method of Petryshyn’s fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.
KW - Functional integral equation (FIE)
KW - Measure of noncompactness (MNC)
KW - Petryshyn’s fixed point theorem
UR - https://www.scopus.com/pages/publications/85122431958
U2 - 10.3934/math.2022309
DO - 10.3934/math.2022309
M3 - Article
AN - SCOPUS:85122431958
SN - 2473-6988
VL - 7
SP - 5594
EP - 5604
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 4
ER -