We establish the strong convergence theorems and summable almost T-stability of the random Picard-Mann hybrid iterative process and the random Mann-type iterative process generated by a generalized class of random operators in separable Banach spaces.
Because of the stability of this random migration zone, cells exhibit chemokinesis without being attracted away by the ligand sources.
In this paper, using fixed point methods, we prove the generalized Hyers-Ulam stability of random homomorphisms in random C ∗ -algebras and random Lie C ∗ -algebras and of derivations on non-Archimedean random C∗-algebras and non-Archimedean random Lie C∗-algebras for an m-variable additive functional equation.
In this paper, we prove the generalized Hyers-Ulam stability of random homomorphisms and random derivations associated with the generalized additive functional equation (1.3) in random Banach algebras.
In this section, using the fixed point method, we prove the Hyers-Ulam stability of random homomorphisms in complete random normed algebras associated with the Cauchy additive functional inequality (1.2).
In this section, using the fixed point method, we prove the Hyers-Ulam stability of random derivations on complete random normed algebras associated with the Cauchy-Jensen additive functional inequality (1.3).
In Section 3, we prove the Hyers-Ulam stability of random derivations in complete random normed algebras associated with the Cauchy-Jensen additive functional inequality (1.3).
In Section 2, we prove the Hyers-Ulam stability of random homomorphisms in complete random normed algebras associated with the Cauchy additive functional inequality (1.2).
This is the main conclusion of the article, which contains the existence and stability of random periodic solutions, the numerical implementation method and the mean-square convergence theorem.
The method is demonstrated on two examples inspired by the problem of sand production in oil exploration, namely the stability of a random packed layer of cohesive particles under gravity and under laminar cross-flow.
