TY - JOUR
T1 - Existence and Uniqueness of Fixed Points for Mixed Monotone Operators with Application
AU - Wu , Yuexiang
AU - Huo , Yanmei
JO - Communications in Mathematical Research 
VL - 3
SP - 212
EP - 220
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.03.03
UR - https://global-sci.org/intro/article_detail/cmr/13479.html
KW - cone and semiorder, mixed monotone operator, fixed point, fractional
differential equation
AB - <p style="text-align: justify;">In this paper, a class of mixed monotone operators is studied. Some
new fixed point theorems are presented by means of partial order theory, and the
uniqueness and existence of fixed points are obtained without assuming the operator
to be compact or continuous. Our conclusions extend the relevant results. Moreover,
as an application of our result, the existence and uniqueness of positive solution for
a class of fractional differential equation boundary value problem are proved.</p>