Iterative Methods and Sensitivity Analysis for Exponential General Variational Inclusions

Abstract

In this paper, we introduce some new classes of exponentially variational inclusions. Several important special cases are obtained as applications. Using the resolvent operator, it is shown that the exponentially variational inclusions are equivalent to the fixed point problem. This alternative formulation is used to suggest and investigate a wide call of iterative schemes for solving the variational inclusions. Dynamical systems is used to study asymptotic stability of the solution. We study the convergence analysis for proposed iterative methods. Sensitivity analysis is also considered. Our results represent a significant improvement over the existing ones. As special cases, we obtain some new and old results for solving exponentially variational inclusions and related optimization problems.