Abstract
We introduce a new type of nonexpansive mappings and obtain a number of existence and convergence theorems. This new class of nonlinear mapping properly contains nonexpansive, Suzuki-type generalized nonexpansive mappings and partially extends firmly nonexpansive and α-nonexpansive mappings. Also, this class of mapping need not be continuous. Some useful examples are presented to illustrate facts. Some prominent iteration processes are also compared using numerical computations.
| Original language | English |
|---|---|
| Pages (from-to) | 248-266 |
| Number of pages | 19 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 38 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Feb 2017 |
| Externally published | Yes |
Keywords
- Condition (C)
- Opial property
- generalized α-nonexpansive mapping
- nonexpansive mapping
- α-nonexpansive mapping
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization