Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China
Abstract:
The concept of (ϕ , 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 probabilistic 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 at. CLC number: 0177.99 Document code: A