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Fixed point theorem for generalized Chatterjea type mappings

  • C. M. Păcurar,
  • O. Popescu

摘要

We introduce a new type of mappings in metric spaces which arethree-point analogue of the well-known Chatterjea type mappings, and call themgeneralized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includesthe class of Chatterjea type mappings. The fixed point theorem for generalizedChatterjea type mappings is proven.