关键词: non-Archimedean probabilistic normed space, probabilistic contractor couple, selection function, system of nonlinear equations

Abstract: The Purpose of this paper is to introduce the concept of probabilistic contractor couple in non-Archimedean probabilistic normed spaces and to study the existencc and uniqueness of solutions for a system of nonlinear operator equations with probabilistic contractor couples in non-Archimedean probabilistic normed spaces. The results presented in this paper improve and extend the corresponding results in [1-5].

Key words: non-Archimedean probabilistic normed space, probabilistic contractor couple, selection function, system of nonlinear equations