新的两点拉伸型不动点定理及应用

NEW THEOREMS OF FIXED POINTS ON TWO-POINT PULLED MODEL AND THEIR APPLICATIONS

著名的上下解方法使用的一个基本条件是方程的下解小于上解，但在很多非线性问题中下解及上解不满足这一条件，即下解不小于上解，本文对全连续增算子在下解不小于上解的基本条件下，获得了新的不动点定理，并应用于超线性积分方程．

Under the condition:let E be a Banach space and P be a solid cone of E. x0,Y0 ∈P,y0∈ P and δ> 1,δx0 ≤Ax0,Ay0≤ Y0,x0 ,we get new results of existence of fixed points of a completely continuous,monotone and increasing mapping A,and apply the results to Hammerstein type of nonlinear integeral equations.