Best proximity point theorems for cyclic strongly quasi‐contraction mappings

Best proximity point theorems for cyclic strongly quasi‐contraction mappings

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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:
Keywords: proximal point algorithm, mapping
Abstract:

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.

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