作 者: ;
机构地区: 中山大学数学与计算科学学院
出 处: 《Journal of Mathematical Research and Exposition》 2004年第2期305-311,共7页
摘 要: 该文引入了φ凹-(-φ)凸算子,统一处理了一类具有某种凹凸性的混合单调算子,在非紧非连续条件下,得到了算子的不动点的存在唯一性和迭代收敛性,进而得到了具有a凹-Guo凸,凹-Guo凸,μ_0凹-凸,μ_0凹-(-a)凸或α_1凹-(-α_2)凸等性质的混合单调算子的新不动点定理。 In this paper, the definition of φ-concave--(φ-)--convex operator is introduced, and a class of mixed monotone operators with certain concavity and convexity properties arc dis- cussed. Without any compactness or continuity of the operators , the existence and unique- ness for the fixed point of the operators is obtained. As corollaries, some new results about these operators are produced.