TY - JOUR
ID - 2264
TI - Existence of solutions of infinite systems of integral equations in the Frechet spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Arab, Reza
AU - Allahyari, Reza
AU - Shole Haghighi, Ali
AD - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
AD - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
AD - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
Y1 - 2016
PY - 2016
VL - 7
IS - 2
SP - 205
EP - 216
KW - Measure of noncompactness
KW - Frechet space
KW - Tychonoff fixed point theorem
KW - Infinite systems of equations
DO - 10.22075/ijnaa.2017.1074.1222
N2 - In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the FrĀ“echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tychonoff fixed point theorem. Also, we present an example of nonlinear integral equations to show the efficiency of our results. Our results extend several comparable results obtained in the previous literature.
UR - https://ijnaa.semnan.ac.ir/article_2264.html
L1 - https://ijnaa.semnan.ac.ir/article_2264_d473862b05d2a18a6a30b75788356ff0.pdf
ER -