Document Type: Research Paper

Authors

1 Department of Mathematics, Afzale Kermani, Institute of Higher Education,, Kerman, Iran.

2 Department of Mathematics, Afzale Kermani, Institute of Higher Education, Kerman, Iran.

3 Department of Mathematics, Afzale Kermani Institute of Higher Education, Kerman, Iran.

Abstract

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.

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Main Subjects

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