Journal of Global Optimization

, Volume 56, Issue 4, pp 1667–1674 | Cite as

Best proximity point theorems for cyclic strongly quasi-contraction mappings

Article

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.

Keywords

Best proximity point Cyclic strongly quasi-contractionmap Cyclic quasi-contraction map Cyclic \({\varphi}\)-contraction map Uniformly convex Banach space 

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Copyright information

© Springer Science+Business Media, LLC. 2012

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of ShahrekordShahrekordIran

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