TY - JOUR
ID - 37836
TI - New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Monfared, Hossein
AU - Asadi, Mehdi
AU - Farajzadeh, Ali
AD - Department of Mathematics, Bilehsavar Branch, Islamic Azad University, Bilehsavar, Iran.
AD - Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran.
AD - Department of Mathematics, Razi University, Kermanshah, 67149, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 2
SP - 161
EP - 171
KW - Measure of non-compactness
KW - Simulation functions
KW - $alpha$-admissible mappings
KW - Fixed point
DO - 10.22130/scma.2018.84950.427
N2 - In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to functional integral equations are given to support the obtained results.
UR - https://scma.maragheh.ac.ir/article_37836.html
L1 - https://scma.maragheh.ac.ir/article_37836_39ad1aa7de0c747d55d528d05434e30a.pdf
ER -