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_ebd5fb7f6d8fb30eaa38020d459af69d.pdf ER -