Journal of Optimization Theory and Applications

, Volume 151, Issue 2, pp 418–424

Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces

TECHNICAL NOTE

Abstract

In this paper, we consider a cyclic mapping on a partially ordered complete metric space. We prove some fixed point theorems, as well as some theorems on the existence and convergence of best proximity points.

Keywords

Fixed point Best proximity point Cyclic contraction mapping Property UC 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Mathematics DepartmentImam Khomeini International UniversityQazvinIran

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