On Some Common Fixed Point Theorems for Certain Contractive Mappings in Cone Metric Spaces
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2
Abstract
The aim of this paper is to establish the generalization of T-Reich and T-Rhoades type mappings on complete cone metric spaces. Huang and Zhang introduce the notion of cone metric spaces. He replaced real number system by ordered Banach space and gave the condition in the setting of cone metric spaces. These authors also described the convergence of sequences in the cone metric spaces and introduce the corresponding notion of completeness. The study of fixed point theorems in such spaces is followed by many researchers. In the present paper this study has been extended to analyse the existence and uniqueness of common fixed points of T-Reich contractive mappings defined on a complete cone metric space (X,d) as well as T-Rhoades contractive mappings. These results generalize and extend the existing fixed point theorems available in the literature.
Authors and Affiliations
A. K. Dubey, Rohit Verma
Keywords
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