Weak-compatibility in non-Archimedean Menger PM-space (Q2888326)

Using the concept of weak-compatible selfmaps, a common fixed point theorem for six selfmappings in a complete non-Archimedean Menger probabilistic metric space \((X, F, \Delta)\) satisfying the condition \((D)_g\):\ \(g(\Delta(s, t)) \leq g(s) + g(t)\;\forall s, t \in [0, 1]\), where \(g : [0, 1] \rightarrow [0,\infty]\) is a continuous, strictly decreasing function, with \(g(1) = 0\) and \(g(0) < \infty\) is proved.NEWLINENEWLINEReviewer remark: the condition \((D)_g\) is an older one, see. e.g. the book [\textit{S.-s. Chang, Y. Je Cho} and \textit{S. M. Kang}, Probabilistic Metric Spaces and Nonlinear Operator Theory, Sichuan University Press, (1994)].