Article ID: | iaor20119972 |
Volume: | 151 |
Issue: | 1 |
Start Page Number: | 210 |
End Page Number: | 216 |
Publication Date: | Oct 2011 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Sadiq Basha S |
Keywords: | approximation, Banach space |
This article elicits a best proximity point theorem for non‐self‐proximal contractions. As a consequence, it ascertains the existence of an optimal approximate solution to some equations for which it is plausible that there is no solution. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designated as a best proximity point. It is interesting to observe that the preceding best proximity point theorem includes the famous Banach contraction principle.