摘要
利用半序的方法研究了一类具有某种凹凸性的混合单调算子,在非紧非连续的假设下证明了不动点的唯一性,并且应用到非线性积分方程中.
In this paper, by using the partial order method,a class of mixed monotone operators with concavity and convexity are discussed. Without any compactness or continuity of the operators, the new fixed point theorems are obtained. In the end, the new results are applied to the nonlinear integral equations.
出处
《徐州师范大学学报（自然科学版）》
CAS
2007年第2期19-23,共5页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10671167)
关键词
凹凸算子
仿射算子
不动点
concave and convex operator
affine operator
fixed point
