Document Type : Research Paper
Authors
- Hamid Shojaei ^{} ^{1}
- Neda Shojaei ^{2}
- Razieh Mortazaei ^{3}
^{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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