Article ID: | iaor20134166 |
Volume: | 56 |
Issue: | 4 |
Start Page Number: | 1667 |
End Page Number: | 1674 |
Publication Date: | Aug 2013 |
Journal: | Journal of Global Optimization |
Authors: | Amini-Harandi A |
Keywords: | proximal point algorithm, mapping |
In this paper, we introduce a new class of maps, called cyclic strongly quasi‐contractions, which contains the cyclic contractions as a subclass. Then we give some convergence and existence results of best proximity point theorems for cyclic strongly quasi‐contraction maps. An example is given to support our main results.