The main objective of this article is to propose two novel parallel methods for solving common variational inclusion and fixed point problems in a real Hilbert space. Strong convergence theorems both are established by allowing some mild conditions. Moreover, numerical studies the signal recovery problem consisting various blurred filters demonstrate computational behavior proposed other existi...

We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases. By applying the resolvent operator technique and fixed point theorem, we suggest a new perturbed three-step iterative algorithm with errors for solving the class of variational inequalities. Several exi...

Optimization problems for discrete and diierential inclusions have many important applications and generalize both standard and nonstandard models in optimal control for open-loop and closed-loop control systems. In this paper we consider optimal control problems for dynamic systems governed by such inclusions with general endpoint constraints. We provide a variational analysis of diierential i...

In this paper, we study a modified relaxed inertial Mann-type iterative algorithm for solving split monotone variational inclusion problem without prior knowledge of the bounded linear operator norm in real Hilbert spaces. Under some appropriate assumptions on parameters, established strong convergence result proposed algorithm. As applications, special cases general are given. Finally, also gi...