Abstract
In this paper, we study an iterative algorithm that is based on inertial proximal and contraction methods embellished with relaxation technique, for finding common solution of monotone variational inclusion, and fixed point problems of pseudocontractive mapping in real Hilbert spaces. We establish a strong convergence result of the proposed iterative method based on prediction stepsize conditions, and under some standard assumptions on the algorithm parameters. Finally, some special cases of general problem are given as applications. Our results improve and generalized some well-known and related results in literature.
| Original language | English |
|---|---|
| Pages (from-to) | 175-203 |
| Number of pages | 29 |
| Journal | Nonlinear Functional Analysis and Applications |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
| Externally published | Yes |
Keywords
- Monotone variational inclusion problem
- inertial iterative method
- nonexpansive operator
- pseudocontractive operator
- resolvent operator
- strong convergence