Abstract
In this research, we propose a new effcient iterative method for fixed point problems of generalized α-nonexpansive mappings. We show the weak and strong convergence analysis of the proposed method under some mild assumptions on the control parameters. We consider the application of the new method to some real world problems such as convex minimization problems, image restoration problems and impulsive fractional differential equations. We carryout a numerical experiment to show the computational advantage of our method over some well known existing methods.
| Original language | English |
|---|---|
| Pages (from-to) | 841-865 |
| Number of pages | 25 |
| Journal | Nonlinear Functional Analysis and Applications |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2024 |
| Externally published | Yes |
Keywords
- Banach space
- fixed point and image restoration problem
- impulsive fractional differential equation
- iterative method