Contractive mapping theorems in Partially ordered metric spaces

• Autores: N. Seshagiri Rao, K. Kalyani, Kejal Khatri
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 22, Nº. 2, 2020, págs. 203-214
• Idioma: inglés
• DOI: 10.4067/S0719-06462020000200203
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen El propósito de este artículo es establecer teoremas de coincidencia y de punto fijo común para auto mapeos monótonos f-no decrecientes satisfaciendo ciertas contracciones de tipo racional en el contexto de espacios métricos dotados de un orden parcial. Adicionalmente, resultados que involucran clases de mapeos de tipo integral son discutidos desde un punto de vista de las aplicaciones. Estos resultados generalizan y extienden resultados bien conocidos, existentes en la literatura.

  • English

    Abstract The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone f-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature.

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