| Fixed point theorems of nonlinear operators play an important role in the study of non-linear functional analysis.The purpose of this paper is to present some new fixed point theo-rems for monotone operators in ordered spaces.We will use partial order theory,h-ordering differences and altering distance functions to study monotone operators.The main results are listed as follows:1.By using some properties of h-ordering differences,altering distance functions and monotone iteractive technique,we study some monotone operators in ordered Banach spaces.We do not require that the operator is compact and continuous,concave or convex.We establish some new existence and uniqueness results of fixed points.2.By using some properties of altering distance functions,we study some monotone operators in ordered Banach product spaces.The operators are not compact and continuous,concave or convex.We get some new existence and uniqueness results of fixed points.3.We use the definition of cone distance,the properties of altering distance functions to study continuous functionals and general functions in cone metric spaces,and then we get some new theorems of existence and uniqueness of fixed points for a class of operators. |
