The concept of (Ф, Δ)_type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng. The existence and uniqueness of the s...The concept of (Ф, Δ)_type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng. The existence and uniqueness of the solutions for a system of nonlinear operator equations with this kind of propabilistic contractor couple in N.A. Menger PN_spaces were studied. The works improve and extend the corresponding results by M. Altman, A.C.Lee,W.J. Padgett et al.展开更多
文摘The concept of (Ф, Δ)_type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng. The existence and uniqueness of the solutions for a system of nonlinear operator equations with this kind of propabilistic contractor couple in N.A. Menger PN_spaces were studied. The works improve and extend the corresponding results by M. Altman, A.C.Lee,W.J. Padgett et al.