Common Fixed Points for Altman Type Mapping in Non-Archimedean Menger Probabilistic Metric Spaces and Their Applications in Dynamic Programming

By using the compatible conditions of self-mapping pair in non-Archimedean Menger probabilistic metric spaces, common fixed point theorems for a class new of Altman type mapping are proved in nonarchimedean Mengerprobabilistic metric spaces, which improve and extend some related corresponding results. As an application we also discuss the existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.