Best proximity points for proximal generalized contractions in metric spaces

@article{AminiHarandi2013BestPP,
  title={Best proximity points for proximal generalized contractions in metric spaces},
  author={A. Amini-Harandi},
  journal={Optimization Letters},
  year={2013},
  volume={7},
  pages={913-921}
}
In this paper, we give best proximity point theorem for non-self proximal generalized contractions. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designed as a best proximity point. An example is also given to support our main results. 

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A best approximation theorem in hyperconvex metric spaces

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Convergence and existence results for best proximity points

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