半序概率度量空间中一类算子方程的可解性
반서개솔도량공간중일류산자방정적가해성
Solvability of a class of nonlinear operator equations in ordered probabilistic metric spaces
  • 万方数据
    南昌大学学报（理科版） 남창대학학보（이과판）
    JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
    2014年 5期 417-420,425 ,共5页

    毛玉丹%朱传喜

    모옥단%주전희

    半序%概率度量空间%算子方程的解 半序%概率度量空間%算子方程的解
    반서%개솔도량공간%산자방정적해
    Partial order%Probabilistic metric space%Nonlinear operator equation
    半序方法是研究非线性算子方程问题的主要方法之一。利用概率度量空间中由泛函诱导的半序，在不同的压缩条件下，研究了非线性算子方程Lx＝N（x，x）的可解性问题，所得结论推广和改进了有关文献中的一些结论。
    반서방법시연구비선성산자방정문제적주요방법지일。이용개솔도량공간중유범함유도적반서，재불동적압축조건하，연구료비선성산자방정Lx＝N（x，x）적가해성문제，소득결론추엄화개진료유관문헌중적일사결론。
    Partially ordered method is one of the main methods in studying nonlinear problems.In this pa-per,we used the partial order induced by the functional,and discussed the possible existence of solutions for a class of mixed monotone operator equations Lx=N(x,x)in Menger PM-spaces.The results general-ized and improved some results in the corresponding literatures.
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