University of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive15263486110.22130/scma.2018.65773.251ENHamidShojaeiDepartment of Mathematics, Afzale Kermani, Institute of Higher Education,, Kerman, Iran.NedaShojaeiDepartment of Mathematics, Afzale Kermani, Institute of Higher Education, Kerman, Iran.RaziehMortazaeiDepartment of Mathematics, Afzale Kermani Institute of Higher Education, Kerman, Iran.Journal Article20170611Huang 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.<br />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.http://scma.maragheh.ac.ir/article_34861_6fee3e3433a295e0a5b51cab751a1de8.pdf