Pre-symmetric c-distances and characterization of complete cone metric spaces

• Karimizad, Seyedeh Sara ^[1] ; Soleimani Rad, Ghasem ^[2]
  1. [1] Ilam University

     Ilam University

     Irán

     
  2. [2] Freelance Researcher
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 529-542
• Idioma: inglés
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• Resumen

  • The main goal of this research is to express the definition of pre-symmetric c-distances in cone metric spaces inspired by pre-symmetric w-distances defined by Romaguera and Tirado [Mathematics. 12 (2024), 2:305] and give the properties of this type of c-distances along with some examples. Then we introduce Suzuki's theorem regarding a pre-symmetric c-distance and obtainrelationship between several important contractions with respect to cone metric spaces. Finally, we will state a characterization of the completeness of cone metrics using fixed point theorems, which is different from previous descriptions of complete cone metric spaces.