TY - JOUR
T1 - Unique Common Fixed Point for a Family of Mappings with a Nonlinear Quasi-Contractive Type Condition in Metrically Convex Spaces
AU - Y. J. Piao
JO - Analysis in Theory and Applications
VL - 2
SP - 167
EP - 175
PY - 2017
DA - 2017/04
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n2.6
UR - https://global-sci.org/intro/article_detail/ata/4631.html
KW - Metrically convex space, a class $\Phi$ of 5-dimensional functions, $\phi_i$-quasi-contraction, common fixed point, complete.
AB - <p style="text-align: justify;">A class $\Phi$ of 5-dimensional functions was introduced and an existence and uniqueness of common fixed points for a family of non-self mappings satisfying a $\phi_i$-quasi-contractive condition and a certain boundary condition was given on complete metrically convex metric spaces, and from which, more general unique common fixed point theorems were obtained. Our main results generalize and improve many same type common fixed point theorems in references.</p>