N.A.Menger PM-空间中非单调压缩算子方程组解的连续性及其应用

CONTINUITY OF THE SOLUTION OF NONMONOTONIC CONTRACTION OPERATOR EQUATIONS IN N. A. MENGER PM-SPACE AND ITS APPLICATIONS

在引入非单调压缩函数的前提下,在非阿基米德概率度量空间中,讨论了一类非单调压缩算子方程组解的存在性、唯一性及关于参数的连续性.作为应用,讨论了一类乘积空间中映像对的不动点的存在性.

discussed the existence,uniqueness and the continuity (about the parameters) of the solutions of the non-monotonic contraction operator equations in N. A. Menger PM-space by introducing non-monotonic contraction functions. As an application, the common fixed point theorem of a kind of mapping pair in product space is obtained.