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Jatinderdeep Kaur ; S. S. Bhatia ;Journal of Applied Research and Technology 2014, 12 (3)

Autor: Priya Shahi

Fuente: http://www.redalyc.org/


Introducción



Journal of Applied Research and Technology ISSN: 1665-6423 jart@aleph.cinstrum.unam.mx Centro de Ciencias Aplicadas y Desarrollo Tecnológico México Shahi, Priya; Kaur, Jatinderdeep; Bhatia, S.
S. Common Fixed Points of Expansive Mappings in Generalized Metric Spaces Journal of Applied Research and Technology, vol.
12, núm.
3, junio-, 2014, pp.
607-614 Centro de Ciencias Aplicadas y Desarrollo Tecnológico Distrito Federal, México Available in: http:--www.redalyc.org-articulo.oa?id=47431368025 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative   Common Fixed Points of Expansive Mappings in Generalized Metric Spaces Priya Shahi*1, Jatinderdeep Kaur1 and S.
S.
Bhatia1 1 School of Mathematics and Computer Applications Thapar University, Patiala-147004, India * priya.thaparian@gmail.com ABSTRACT 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 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 obtained results. Keywords: Common fixed point, G -metric spaces, Weakly compatible, Expansive mapping.     1.
Introduction Fixed point theory has gained impetus, due to its wide range of applicability, to resolve diverse problems emanating from the theory of nonlinear differential equations and integral equations [24], game theory relevant to military, sports and medicine as w...





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