Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces

• Autores: K. Kalyani, N. Seshagiri Rao
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 2, 2021, págs. 207-224
• Idioma: inglés
• DOI: 10.4067/S0719-06462021000200207
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN En este artículo, probamos algunos resultados sobre puntos de coincidencia para un auto-mapeo no decreciente f satisfaciendo ciertas contracciones de tipo racional en el contexto de un espacio métrico dotado de un orden parcial. Más aún, se entregan algunas consecuencias del resultado principal que involucran contracciones de tipo integral en el espacio. Se ilustran algunos ejemplos numéricos en apoyo a nuestros resultados. Como una aplicación, discutimos la existencia de una única solución de una ecuación integral.

  • English

    ABSTRACT In this paper, we proved some coincidence point results for f-nondecreasing self-mapping satisfying certain rational type contractions in the context of a metric space endowed with a partial order. Moreover, some consequences of the main result are given by involving integral type contractions in the space. Some numerical examples are illustrated to support our results. As an application, we have discussed the existence of a unique solution of integral equation.

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