PN-空间中一类Fuzzy映象的非线性方程序列的解

On the Solutions of a Class of Nonlinear Equations Sequence for Fuzzy Mappings in PN-Spaces

给出并证明了Menger PN-空间中一类具有(φ,Δ)-型概率收缩偶序列的非线性集值算子方程序列解的存在性及其迭代收敛定理,推广了张石生等人的结果,利用此定理,获得了一个映象序列的不动点定理,并研究了关于Fuzzy映象的非线性方程序列的解.

In this paper, the existence and uniqueness theorem of the solutions for system of nonlinear set-val- ued operator equations sequence in a class of Menger PN-space with （φ,△） -type probabilistic contractor couple are presented and proved, which generalizes the corresponding results of Chang S S etc. Utilizing this theorem, a fixed point theorem for mappings sequence is obtained, and the solutions for nonlinear equations sequence for fuzzy mappings are studied.