we show that  higher derivations on a hilbert$c^{*}-$module associated with the cauchy functional equation satisfying generalized hyers--ulam stability.

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

We study the design of a decentralized two-sided matching market in which agents’ search is guided by platform. There are finitely many agent types, each with (potentially random) preferences drawn from known type-specific distributions. Equipped knowledge these distributions, platform guides process determining meeting rate between pair types two sides. Focusing on symmetric pairwise continuum...