Abstract
In this paper, we introduce a modified inertial subgradient extragradient algorithm in a 2-uniformly convex and uniformly smooth real Banach space and prove a strong convergence theorem for approximating a common solution of fixed point equation with a demigeneralized mapping and a variational inequality problem of a monotone and Lipschitz mapping. We present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 327-338 |
| Number of pages | 12 |
| Journal | Carpathian Journal of Mathematics |
| Volume | 35 |
| Issue number | 3 |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019, SINUS Association. All rights reserved.
Keywords
- Demigeneralized mapping
- Fixed point
- Inertial algorithm
- Subgradient extragradient method
- Variational inequality
ASJC Scopus subject areas
- General Mathematics