【摘要】 目的　研究序 Banach空间中具有凹凸性的减算子的不动点问题 .方法　利用非线性分析中的锥与半序方法结合单调迭代技巧 .结果　得到了不动点的存在唯一性定理及相应的迭代求解公式 .结论　在一个与文献 [7]不同的条件下 ,得到了同样的结论 ,具有一定的理论价值 ,并可应用于实际问题更多还原

【Abstract】 s: Aim\ To study the fixed point of decreasing operator with convexity or concavity in ordered space. Methods\ By using the cone and partial order in nonlinear functional analysis and monotone iterative technology. Results\ Existence and uniqueness are proved and iteration formula for the fixed point of decreasing operator is obtained. Conclusions\ The same results as \ are obtained under different conditions. They are interesting and can be applied to certain integral equations.更多还原