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Best and coupled best approximation theorems in abstract convex metric spaces
Authors:A Amini-Harandi
Institution:
  • Department of Applied Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
  • School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran
  • Abstract:In this paper, we first give a best approximation theorem in abstract convex metric spaces. As applications, we then derive some best and coupled best approximations and coupled coincidence point results in normed spaces and hyperconvex metric spaces.
    Keywords:Best approximation  Coupled best approximation  Abstract convex metric space  Hyperconvex metric space  Normed space  Coupled coincidence point  KKM property
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