%0 Journal Article
%T New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Monfared, Hossein
%A Asadi, Mehdi
%A Farajzadeh, Ali
%D 2020
%\ 06/01/2020
%V 17
%N 2
%P 161-171
%! New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
%K Measure of non-compactness
%K Simulation functions
%K $alpha$-admissible mappings
%K Fixed point
%R 10.22130/scma.2018.84950.427
%X 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.
%U https://scma.maragheh.ac.ir/article_37836_39ad1aa7de0c747d55d528d05434e30a.pdf