Journal of Inequalities and Applications

, 2012:206

First online:

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Nonlinear conditions for the existence of best proximity points

  • Wei-Shih DuAffiliated withDepartment of Mathematics, National Kaohsiung Normal University Email author 
  • , Hossein LakzianAffiliated withDepartment of Mathematics, Payame Noor University


In this paper, we first introduce the new notion of MT contraction and establish some new existence and convergence theorems of iterates of best proximity points for MT contractions. Some nontrivial examples illustrating our results are also given.

MSC:41A17, 47H09.


cyclic map best proximity point MT ( R MT contraction