TY - JOUR
ID - 34954
TI - A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Banaei, Shahram
AU - Ghaemi, Mohammad Bagher
AD - Department of Mathematics, Bonab Branch, Islamic Azad University, Bonab, Iran.
AD - Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Y1 - 2019
PY - 2019
VL - 15
IS - 1
SP - 19
EP - 35
KW - Measure of noncompactness
KW - Fixed point theorem
KW - Integral equations
DO - 10.22130/scma.2018.74869.322
N2 - In this paper, we generalize the Meir-Keeler condensing operators via a concept of the class of operators $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems. As an application of this extension, we analyze the existence of solution for a system of nonlinear functional integral equations of Volterra type. Finally, we present an example to show the effectiveness of our results. We use the technique of measure of noncompactness to obtain our results.
UR - http://scma.maragheh.ac.ir/article_34954.html
L1 - http://scma.maragheh.ac.ir/article_34954_fb1f8292e46d2d8e27e2ad9e34eb5f31.pdf
ER -