New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 2)Publication Date: 2020-06-01
Authors : Hossein Monfared; Mehdi Asadi; Ali Farajzadeh;
Page : 161-171
Keywords : Measure of non-compactness; Simulation functions; $alpha$-admissible mappings; Fixed point;
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.
Other Latest Articles
- Inequalities of Ando's Type for $n$-convex Functions
- Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation
- On the Monotone Mappings in CAT(0) Spaces
- Common Fixed Point Results on Complex-Valued $S$-Metric Spaces
- Vector Optimization Problems and Generalized Vector Variational-Like Inequalities
Last modified: 2020-06-16 17:03:39