GENERALIZED CONE METRIC SPACES

Volume 3, Issue 1, pp 21-31 http://dx.doi.org/10.22436/jnsa.003.01.03

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Authors

ISMAT BEG - Department of Mathematics and Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan. MUJAHID ABBAS - Department of Mathematics and Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan. TALAT NAZIR - Department of Mathematics and Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan.

Abstract

A notion of generalized cone metric space is introduced, and some convergence properties of sequences are proved. Also some fixed point results for mappings satisfying certain contractive conditions are obtained. Our results complement, extend and unify several well known results in the literature.

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Keywords

• Generalized cone metric space
• contractive mappings
• fixed point.

MSC

•  47H10
•  46B20
•  54H25
•  54E35

References

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• [5] R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc., 60 (1968), 71-76.


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