Common Fixed Points of Expansive Mappings in Generalized Metric Spaces

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Priya Shahi
Jatinderdeep Kaur
S. S. Bhatia

Abstract

In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weakcompatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces toG -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize andextend the theorem of Şahin 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 obtainedresults.

 

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How to Cite
Shahi, P., Kaur, J., & Bhatia, S. S. (2014). Common Fixed Points of Expansive Mappings in Generalized Metric Spaces. Journal of Applied Research and Technology, 12(3). https://doi.org/10.1016/S1665-6423(14)71640-2