Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G-Metric Spaces - Applied Mathematics

AM > Vol.3 No.10, October 2012

Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G-Metric Spaces ()

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DOI: 10.4236/am.2012.310166 5,808 Downloads 9,775 Views Citations

Author(s)

Asha Rani, Sanjay Kumar, Naresh Kumar, S. K. Garg

Affiliation(s)

Departement of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, Haryana, India.
Department of Applied Sciences,B. M. Institute of Engineering and Technology, Raipur, Sonepat, Haryana, India.

ABSTRACT

In this paper first we prove common fixed point theorems for compatible and weakly compatible maps. Secondly, we prove common fixed point theorems for weakly compatible maps along with property (E.A.) and (CLRg) property respectively.

KEYWORDS

G-metric Spaces; Compatible Maps; Weakly Compatible Maps; Property (E.A.); (CLRg) Property

Share and Cite:

A. Rani, S. Kumar, N. Kumar and S. Garg, "Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G-Metric Spaces," Applied Mathematics, Vol. 3 No. 10, 2012, pp. 1128-1134. doi: 10.4236/am.2012.310166.

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