On the existence of best proximity points for generalized contractions

• Vetrivel, V. ^[1] ; Sultana, Asrifa ^[1]
  1. [1] Indian Institute of Technology Madras

     Indian Institute of Technology Madras

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 1, 2014, págs. 55-63
• Idioma: inglés
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• Resumen

  • In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent best proximity point theorems and several fixed point theorems proved by various authors.