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|Paper IPM / M / 15173||
In this article, we introduce a new class of noncyclic mappings called generalized pointwise noncyclic contractions, and we prove a best proximity
pair theorem for this class of noncyclic mappings in the setting of strictly convex Banach spaces.
Our conclusions generalize a result due to Kirk and Royalty.
We also study convergence of iterates of noncyclic contraction mappings in uniformly convex Banach spaces.
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