Common Fixed Point Results in C ∗ -Algebra Valued b-Metric Spaces Via Digraphs

• Autores: Sushanta Kumar Mohanta
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 20, Nº. 1, 2018, págs. 41-64
• Idioma: inglés
• DOI: 10.4067/S0719-06462018000100041
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Discutimos la existencia y unicidad de puntos de coincidencia y puntos fijos comunes para un par de aplicaciones definidas en un b-espacio métrico a valores en una álgebra C* dotado de un grafo en sí mismo. Nuestros resultados extienden y suplementan diversos resultados recientes en la literatura. La fuerza de las hipótesis impuestas al primer resultado se evalúa a través de ejemplos ilustrativos.

  • English

    Abstract We discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings defined on a C∗-algebra valued b-metric space endowed with a graph. Our results extend and supplement several recent results in the literature. Strength of hypotheses made in the first result have been weighted through illustrative examples.

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