New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application

Author(s):

Hossein Monfared , Mehdi Asadi , Ali Farajzadeh *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Measure of non-compactness , Simulation functions , $alpha$-admissible mappings , Fixed point

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:17 Issue: 2, Spring 2020
Pages:
161 to 171
https://www.magiran.com/p2147538  
سامانه نویسندگان
  • Author (2)
    Mehdi Asadi
    (1389) دکتری ریاضی، دانشگاه آزاد اسلامی واحد علوم و تحقیقات
    Asadi، Mehdi
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