Some fixed point theorems for ordered Reich type contractions
in cone rectangular metric spaces S. K. Malhotra, S. Shukla and R. Sen Received: June 6, 2012;
Accepted: December 10, 2012
Abstract.
In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rectangular metric spaces without assuming the normality of cone. Our results generalize and extend some recent results in cone rectangular metric spaces, cone metric spaces and rectangular metric space. Some examples illustrating the results are included.
Keywords:
Cone metric space cone rectangular metric space; contraction; fixed point.
AMS Subject classification:
Primary: 54H25, 47H10
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