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


Authors

Valeriu Popa - Department of Mathematics, Informatics and Educational Sciences, Faculty of Sciences ''Vasile Alecsandri'' University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, Romania. Alina-Mihaela Patriciu - Department of Mathematics, Informatics and Educational Sciences, Faculty of Sciences ''Vasile Alecsandri'' University of Bacău, 157 Calea Mărăşeşti, Bacău, 600115, Romania.


Abstract

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.


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ISRP Style

Valeriu Popa, Alina-Mihaela Patriciu, A general fixed point theorem for pairs of weakly compatible mappings in G--metric spaces, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 2, 151--160

AMA Style

Popa Valeriu, Patriciu Alina-Mihaela, A general fixed point theorem for pairs of weakly compatible mappings in G--metric spaces. J. Nonlinear Sci. Appl. (2012); 5(2):151--160

Chicago/Turabian Style

Popa, Valeriu, Patriciu, Alina-Mihaela. "A general fixed point theorem for pairs of weakly compatible mappings in G--metric spaces." Journal of Nonlinear Sciences and Applications, 5, no. 2 (2012): 151--160


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