TY - JOUR
ID - 34861
TI - Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Shojaei, Hamid
AU - Shojaei, Neda
AU - Mortazaei, Razieh
AD - Department of Mathematics, Afzale Kermani, Institute of Higher Education,, Kerman, Iran.
AD - Department of Mathematics, Afzale Kermani, Institute of Higher Education, Kerman, Iran.
AD - Department of Mathematics, Afzale Kermani Institute of Higher Education, Kerman, Iran.
Y1 - 2019
PY - 2019
VL - 14
IS - 1
SP - 15
EP - 26
KW - Complete cone metric spaces
KW - Coincidence points
KW - $phi$-contraction
KW - $s$-contraction mappings
DO - 10.22130/scma.2018.65773.251
N2 - 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.
UR - http://scma.maragheh.ac.ir/article_34861.html
L1 - http://scma.maragheh.ac.ir/article_34861_6fee3e3433a295e0a5b51cab751a1de8.pdf
ER -