Weak partial metric spaces and some fixed point results

• Altun, Ishak ^[1] ; Durmaz, Gonca ^[1]
  1. [1] Kırıkkale University

     Kırıkkale University

     Turquía

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 13, Nº. 2, 2012, págs. 179-191
• Idioma: inglés
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• Resumen

  • The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces.