In this paper, by using the concept of the resolvent operator, we study the behavior and sensitivity analysis of the solution set for a new class of parametric generalized nonlinear implicit quasi-variational inclusion problem in Lp(p ≥ 2) spaces. The results presented in this paper are new and generalize many known results in this field.

The purpose of this paper is to construct two superimposed optimization methods for solving the mixed equilibrium problem and variational inclusion. We show that the proposed superimposed methods converge strongly to a solution of some optimization problem. Note that our methods do not involve any projection.

We apply an existence theorem of variational inclusion problem on metric spaces to study optimization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs with equilibrium constraint on metric spaces. We study these problems without any convexity and compactness assumptions. Our results are different from any existence results of these types of problems...

In this paper, we suggest and analyze a class of iterative schemes for solving generalized multivalued nonlinear quasi-variational like inclusion problems using the concept of η-subdifferential and η-proximal mappings of a proper functional on Hilbert spaces. A detailed convergence analysis of our method is also included.

We report primitive semiclassical rotation-vibrational energy levels for a triatomic molecule, H20, with inclusion of all three vibrational degrees of freedom. Both the Lai-Hagstrom and Hoy-Bunker potential surfaces are used. Vibrational and rotational actions are calculated usinn the fast Fourier transform Sorbie-Handy method. Overall, encouraging agreement with the quantum variational results...