Abstract
The notion of a *-nonexpansive multivalued map is different from that of a continuous map. We give some Ky Fan type best approximation theorems for *-nonexpansive mappings defined on closed convex unbounded subsets of a Hilbert space. As applications of our theorems, we derive fixed point results under many boundary conditions. Approximating sequences to the fixed points are also constructed.
| Original language | English |
|---|---|
| Pages (from-to) | 327-338 |
| Number of pages | 12 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 24 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 2003 |
Bibliographical note
Funding Information:The author A. R. Khan, gratefully acknowledges the support provided by King Fahd University of Petroleum and Minerals during this research.
Keywords
- *-Nonexpansive map
- Best approximation
- Fixed point
- Hilbert space
- Weakly inward map
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization