Best proximity point theorems for cyclic strongly quasi-contraction mappings

A. Amini-Harandi ()

Journal of Global Optimization, 2013, vol. 56, issue 4, 1667-1674

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Best proximity point; Cyclic strongly quasi-contractionmap; Cyclic quasi-contraction map; Cyclic $${\varphi}$$ -contraction map; Uniformly convex Banach space (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10898-012-9953-9

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