On Generalized Mixed Quasivariational Inclusions

Parametric generalized strongly nonlinear mixed quasivariational inclusions in Banach spaces

In this paper, by using the concept of the resolvent operator, we study the behavior and sensitivity analysis of the solution set for a class of parametric generalized strongly nonlinear mixed quasivariational inclusion problem in Banach spaces. The results presented in this paper are new and generalize many known results in this field. Mathematics Subject Classification: 49J40, 90C20

Generalized Nonlinear Implicit Quasivariational Inclusions

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variationa...

A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications

A new system of generalized mixed quasivariational inclusions for short, SGMQVI with relaxed cocoercive operators, which develop some preexisting variational inequalities, is introduced and investigated in Banach spaces. Next, the existence and uniqueness of solutions to the problem SGMQVI are established in real Banach spaces. From fixed point perspective, we propose some new iterative algorit...

On the Convergence for an Iterative Method for Quasivariational Inclusions

Parametric Generalized Mixed Implicit Quasi-variational Inclusions

An existence theorem for a new class of parametric generalized mixed implicit quasi-variational inclusion problems is established in Hilbert spaces. Further, we study the behavior and sensitivity analysis of the solution set in this class of parametric variational inclusion problems.