A general fixed point theorem for pairs of weakly compatible mappings in G--metric spaces

Popa, Valeriu¹ ; Patriciu, Alina-Mihaela¹

¹ Department of Mathematics, Informatics and Educational Sciences, Faculty of Sciences ''Vasile Alecsandri'' University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, Romania

Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 2, p. 151-160.

Résumé

In this paper a general fixed point theorem in G-metric spaces for weakly compatible mappings is proved, theorem which generalize the results from Abbas et. al. [M. Abbas and B. E. Rhoades, Appl. Math. and Computation 215 (2009), 262 - 269] and [M. Abbas, T. Nazir and S. Radanović, Appl. Math. and Computation 217 (2010), 4094 - 4099]. In the last part of this paper it is proved that the fixed point problem for these mappings is well posed.

Détail

DOI : 10.22436/jnsa.005.02.08

Classification : 54H25, 47H10
Keywords: G-metric space, weakly compatible mappings, fixed point.

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