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Journal of applied research and technology

versión On-line ISSN 2448-6736versión impresa ISSN 1665-6423

Resumen

SHAHI, Priya; KAUR, Jatinderdeep  y  BHATIA, S. S.. Common Fixed Points of Expansive Mappings in Generalized Metric Spaces. J. appl. res. technol [online]. 2014, vol.12, n.3, pp.607-614. ISSN 2448-6736.

In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weak compatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces to G -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize and extend the theorem of §ahin and Telci [20] to G -metric spaces and thereby extending the theorem of Wang et al. [23] for a pair of mappings to G -metric spaces. Some comparative examples are constructed which illustrate the obtained results.

Palabras llave : Common fixed point; G -metric spaces; Weakly compatible; Expansive mapping.

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