Abstract
In this paper, we employ an inertial method to approximate a common point of two sets, the set of zeros of an inverse strongly monotone mapping and the set of fixed points of a quasi-nonexpansive mapping in a Hilbert space. This common point turns out to be a solution of variational inequality problem. As applications of our results a number of new algorithms are suggested to find solutions of various important problems in analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 41-67 |
| Number of pages | 27 |
| Journal | Communications on Applied Nonlinear Analysis |
| Volume | 26 |
| Issue number | 4 |
| Publication status | Published - Oct 2019 |
| Externally published | Yes |
Keywords
- Monotone mapping
- Nonexpnasive mapping
- Variational inequality
ASJC Scopus subject areas
- Analysis
- Applied Mathematics