Fixed point results of (ϕ,ψ)-weak contractions inordered b-metric spaces

• Autores: N. Seshagiri Rao, K. Kalyani
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 2, 2022, págs. 343-368
• Idioma: inglés
• DOI: 10.56754/0719-0646.2402.0343
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN El propósito de este artículo es demostrar algunos resultados sobre puntos fijos, puntos de coincidencia, puntos de coincidencia acoplados y puntos de coincidencia acoplados comunes para aplicaciones que satisfacen condiciones de (ϕ,ψ)- contracción generalizadas en b-espacios métricos completos parcialmente ordenados. Nuestros resultados generalizan, extienden y unifican la mayoría de los teoremas de punto fijo métricos fundamentales en la literatura existente. Se ilustran algunos ejemplos para apoyar nuestros resultados.

  • English

    ABSTRACT The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized (ϕ,ψ)-contraction conditions in complete partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. A few examples are illustrated to support our findings.

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