The Research On Fixed Points Of Several Kinds Of Operators Via Order Metheod

In this paper,?i-? concave operators and several self-mappings are studied via order method,which have got some fixed point theorems of some spaces.The results are as follows:1.The concept of ?i-? concave operators is introduced,in order to explore the existence and uniqueness of fixed point of the operators which in partially ordered Banach space,the cone theory,method of induction and it-eration method are used.And a new fixed point theorem that generalize some known results is obtained.2.As a study of practical problems,this chapter gives the application of ?i-? concave operators in differential equations with Riemann-Liouville fractional derivatives and boundary conditions.3.Without the assumption of the normality of the cone,the existence and uniqueness of common fixed points for several self-mappings in the A-cone metric space over Banach algebra is proved.