A Common Fixed Point Theorem in G-Metric Spaces

• S.K Mohanta ^[1] ; Srikanta Mohanta ^[1]
  1. [1] West Bengal State University

     West Bengal State University

     India

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 14, Nº. 3, 2012, págs. 85-101
• Idioma: inglés
• DOI: 10.4067/S0719-06462012000300006
• Enlaces
  • Texto completo
• Resumen
  • español

    Probamos un teorema de punto fijo genérico para un par de auto-aplicaciones en espacios G-métricos completos. Nuestro resultado mejorará y complementará algunos de los resultados recientes en el marco de los espacios G-métricos.

  • English

    We prove a common fixed point theorem for a pair of self mappings in complete Gmetric spaces. Our result will improve and supplement some recent results in the setting of G-metric spaces.

• Referencias bibliográficas
  • Chugh, R,Kadian, T,Rani, A,Rhoades, B.E. (2010). Property P in G-metric spaces: Fixed Point Theory and Applications. 2010. 12
  • Dhage, B.C. (1992). Generalised metric spaces and mappings with fixed point. Bulletin of the Calcutta Mathematical Society. 84. 329-336
  • Dhage, B.C. (2000). Generalised metric spaces and topological structure- I: Analele Stiintifice ale Universitâtii. Al.I.Cuza” din Iasi. Serie...
  • Gähler, S. (1963). 2-metrische Räume und ihre topologische Struktur. Mathematische Nachrichten. 26. 115-148
  • Gähler, S. (1966). Zur geometric 2-metrische räume. Revue Roumaine de Mathématiques Pures et Appliquées. 40. 664-669
  • Ha, K.S,Cho, Y.J,White, A. (1988). Strictly convex and strictly 2-convex 2-normed spaces. Mathematica Japonica. 33. 375-384
  • Kada, Osamu,Suzuki, Tomonari,Takahashi, Wataru. (1996). Nonconvex minimization theorems and fixed point theorems in complete metric spaces....
  • Kumar Mohanta, Sushanta. (2011). Property P of ´Ciri´c operators in G-metric spaces. International J. of Math. Sci. and Engg. Appls. 5. 353-367
  • Mustafa, Z,Sims, B. (2006). A new approach to generalized metric spaces. Journal of Nonlinear and convex Analysis. 7. 289-297
  • Mustafa, Z,Sims, B. (2009). Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory and Applications....
  • Mustafa, Z,Obiedat, H,Awawdeh, F. (2008). Some fixed point theorem for mapping on complete G-metric spaces. Fixed Point Theory and Applications....
  • Mustafa, Z,Shatanawi, W,Bataineh, M. (2009). Existence of fixed point results in G-metric spaces. International Journal of Mathematics and...
  • Mustafa, Z,Sims, B. Some remarks concerning D-metric spaces. Proceedings of the International Conference on Fixed Point Theory and Applications....
  • Mustafa, Z. A new structure for generalized metric spaces-with applications to fixed point theory.
  • Mustafa, Z,Obiedat, H. (2010). A fixed points theorem of Reich in G-metric spaces. Cubo A Mathematics Journal. 12. 83-93
  • Mustafa, Z,Awawdeh, F,Shatanawi, W. (2010). Fixed point theorem for expansive mappings in G-metric spaces. Int. J. Contemp. Math. Sciences....
  • Naidu, S.V.R,Rao, K.P.R,Srinivasa Rao, N. (2005). On the concept of balls in a D-metric space. International Journal of Mathematics and Mathematical...
  • Shatanawi, W. (2010). Fixed point theory for contractive mappings satisfying -maps in G-metric spaces. Fixed Point Theory and Applications....