Coincidence and Common Fixed Point Theorem in Cone Metric Spaces

Coincidence and Common Fixed Point Theorem in Cone Metric Spaces

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Dr. Piyush Tripathi

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Dr. Piyush Kumar Tripathi

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ρ

A. Kumar

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α Amity University

Coincidence and Common Fixed Point Theorem in Cone Metric Spaces

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Abstract

In this paper we have proved some coincidence and common fixed point theorem in cone metric space by using Jungck type contractive condition and generalized the results of Huang Long Guang and Zhang Xian.

References

11 Cites in Article

Reference Format

Dejan Ilic,Vladimir Rakocevic (2008). Common fixed points for maps on cone metric space.
Gerald Jungck (1976). Commuting Mappings and Fixed Points.
G Jungck (1986). Compatible mappings and common fixed points.
Long-Guang Huang,Xian Zhang (2007). Cone metric spaces and fixed point theorems of contractive mappings.
K Jha (2009). A Common Fixed Point Theorem in a Cone Metric Space.
M Abbas,Jngck (2008). Common fixed point sesults for noncommuting mapping without continuity in cone metric space.
Michael Edelstein (1961). An extension of Banach’s contraction principle.
P Raja,S Vaezpour (2008). Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces.
Piyush Tripathi,Manisha Gupta (2010). Jungck type contraction and its application.
S Singh,B Pant (1985). Common fixed points of weakly commuting mappings on non-Archimedean Menger spaces.
S Sessa (1982). On a weak commutativity condition of mapping in fixed point consideration.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Piyush Tripathi. 2012. \u201cCoincidence and Common Fixed Point Theorem in Cone Metric Spaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F5): .

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GJSFR Volume 12 Issue F5
Pg. 19- 23

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Submission ReceivedMarch 23, 2012
Peer Review Double Blind
Handling Editor
Accepted April 13, 2012
Published April 27, 2012

Version of record

v1.2

Issue date

May 14, 2012

Language

en

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Article Matrices

Total Score: 107

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Piyush Kumar Tripathi, A. Kumar (PhD/Dr. count: 1)

View Count (all-time): 114

Total Views (Real + Logic): 5425

Total Downloads (simulated): 2780

Publish Date: 2012 05, Mon

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Total Views: 5425

Total Downloads: 2780

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Published Article

In this paper we have proved some coincidence and common fixed point theorem in cone metric space by using Jungck type contractive condition and generalized the results of Huang Long Guang and Zhang Xian.

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