TY - JOUR
T1 - Common Fixed Points for Two Mappings with Implicit-Linear Contractions on Partially Ordered 2-Metric Spaces
AU - Piao , Yongjie
JO - Communications in Mathematical Research 
VL - 3
SP - 225
EP - 234
PY - 2019
DA - 2019/12
SN - 35
DO - http://doi.org/10.13447/j.1674-5647.2019.03.04
UR - https://global-sci.org/intro/article_detail/cmr/13528.html
KW - 2-metric space, class $\cal U$ of functions, implicit-linear contraction, common fixed point
AB - <p style="text-align: justify;">In this paper, we introduce a new class ${\cal U}$ of 3-dimensional real functions, use ${\cal U}$ and a 2-dimensional real function $\phi$ to construct a new implicit-linear contractive condition and obtain some existence theorems of common fixed points for two mappings on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point. The obtained results well generalize and improve the corresponding conclusions in references.</p>