Ir al contenido

Documat


Coupled Coincidence Points for Generalized (ψ , φ) -Pair Mappings in Ordered Cone Metric Spaces

  • Sushanta Kumar Mohanta [1]
    1. [1] West Bengal State University Department of Mathematics
  • Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 2, 2014, págs. 135-148
  • Idioma: inglés
  • DOI: 10.4067/S0719-06462014000200008
  • Enlaces
  • Resumen
    • español

      Se prueba la existencia de puntos coincidentes acoplados para aplicaciones que satisfacen las condiciones de contractividad generalizada relacionada a las aplicaciones ψ y en un espacio métrico cono ordenados. Nuestro resultado extiende y generaliza algunos resultados comparables conocidos en la literatura.

    • English

      The existence of coupled coincidence points for mappings satisfying generalized contractive conditions related to ψ and -maps in an ordered cone metric space is proved. Our results extend and generalize some well-known comparable results in the existing literature.

  • Referencias bibliográficas
    • Abbas, M,Jungck, G. (2008). Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal....
    • Di Bari, C,Vetro, P. (2008). -Pairs and common fixed points in cone metric spaces. Rendiconti del Circolo Matematico di Palermo. 57. 279-285
    • Bhaskar, T.G,Lakshmikantham, V. (2006). Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Analysis: Theory,...
    • iri, L,Caki, N,Rajovi, M,Ume, J.S. Monotone generalized nonlinear contractions in partially ordered metric spaces. Fixed Point Theory and...
    • Huang, L.-G,Zhang, X. (2007). Cone metric spaces and fixed point theorems of contractive mappings. J. Math. Anal. Appl. 332. 1468-1476
    • Ili, D,Rakocevi, V. (2008). Common fixed points for maps on cone metric space. J. Math. Anal. Appl. 341. 876-882
    • Luong, N.V,Thuan, N.X. (2011). Coupled fixed points in partially ordered metric spaces and application. Nonlinear Analysis: Theory, Methods...
    • Lakshmikantham, V,iri, L. (2009). Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis:...
    • Mohanta, S.K,Maitra, R. (2013). A characterization of completeness in cone metric spaces. The Journal of Nonlinear Science and Applications....
    • Mohanta, S.K. (2012). Common fixed points for mappings satisfying and F-maps in G-cone metric spaces. Bulletin of Mathematical Analysis and...
    • Nieto, J.J,Rodriguez-Lacuteopez, R. (2007). Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary...
    • Rhoades, B. E. (2001). Some theorems on weakly contractive maps. Nonlinear Analysis: Theory, Methods and Applications. 47. 2683-2693
    • Rezapour, S,Hamlbarani, R. (2008). Some notes on the paper: Cone metric spaces and fixed point theorems of contractive mappings. J. Math....
    • Rezapour, S,Derafshpour, M,Hamlbarani, R. A review on topological properties of cone metric spaces. Proceedings of the Conference on Analysis,...
    • Razani, A,Parvaneh, V. Coupled coincidence point results for -weak contractions in partially ordered metric spaces. Journal of Applied Mathematics....
    • Ran, A.C.M,Reurings, M.C.B. (2004). A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Amer....
    • Sabetghadam, F,Masiha, H.P. Common fixed points for generalize -pair mappings on cone metric spaces. Fixed Point Theory and Applications....
    • Shatanawi, W,Samet, B,Abbas, M. (2012). Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. Mathematical...
    • Turkoglu, D,Abuloha, M. (2010). Cone metric spaces and fixed point theorems in diametrically contractive mappings. Acta Math. Sin. (Engl....
Los metadatos del artículo han sido obtenidos de SciELO Chile

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno