| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622778 | Journal of Mathematical Analysis and Applications | 2006 | 6 Pages |
Abstract
Consider a self map T defined on the union of two subsets A and B of a metric space and satisfying T(A)⊆B and T(B)⊆A. We give some contraction type existence results for a best proximity point, that is, a point x such that d(x,Tx)=dist(A,B). We also give an algorithm to find a best proximity point for the map T in the setting of a uniformly convex Banach space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
