A note on probabilistic contractor couple and solutions for a system of nonlinear equations in N A Menger PN-spaces

The concept of (Phi, Delta)-type probabilistic contractor couple was introd uced which simplifies and weakens the definition of probabilistic contracto r couple given by Zhang Shisheng. The existence and uniqueness of the solut ions for a system of nonlinear operator equations with this kind of propabi listic 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.