Abstract
In this paper, we obtain an extension of the Banach Contraction Principle for best proximity points of a non-self mapping on the open unit Hilbert ball. The new result is also established for nonexpansive mappings, firmly nonexpansive mappings and coupled best proximity points of a pair of cyclic contraction mappings in this setting.
| Original language | English |
|---|---|
| Pages (from-to) | 1083-1094 |
| Number of pages | 12 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 17 |
| Issue number | 6 |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016.
Keywords
- Best proximity point
- Coupled best proximity point
- Firmly nonexpansive mapping
- Hilbert ball
- Nonexpansive mapping
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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