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Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive

Journal: Sahand Communications in Mathematical Analysis (Vol.14, No. 1)

Publication Date:

Authors : ; ; ;

Page : 15-26

Keywords : Complete cone metric spaces; Coincidence points; $phi$-contraction; $s$-contraction mappings;

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Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space. In this paper, the notion of complete cone metric space has been introduced. We have defined $s-phi$-contractive and obtained common fixed point theorem for a mapping $f,s$ which satisfies $s-phi$-contractive.

Last modified: 2019-04-28 14:13:45