Title of article
New Generalization of Darbo s Fixed Point Theorem via α-admissible Simulation Functions with Application
Author/Authors
Monfared ، Hossein Department of Mathematics - Islamic Azad University, Bilehsavar Branch , Asadi ، Mehdi Department of Mathematics - Islamic Azad University, Zanjan Branch , Farajzadeh ، Ali Department of Mathematics - Razi University
From page
161
To page
171
Abstract
In this paper, at first, we introduce αμ-admissible, Zμ- contraction and Nμ-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via α-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 , α , admissible mappings , Fixed point
Journal title
Sahand Communications in Mathematical Analysis
Journal title
Sahand Communications in Mathematical Analysis
Record number
2612301
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