Parametric generalized strongly nonlinear mixed quasivariational inclusions in Banach spaces

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...

Generalized Mixed Co - Quasi - Variational Inclusions in Banach Spaces

In this paper, we consider generalized mixed co-quasi-variational inclusions and propose an iterative algorithm for computing their approximate solutions by using definition of J-proximal mapping given in [9]. We prove that the approximate solutions obtained by proposed algorithm converge to the exact solution of our co-quasi-variational inclusion. Some special cases are also discussed. AMS Sub...

An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces

We use Nadler’s theorem and the resolvent operator technique for m-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm i...

Generalized Strongly Nonlinear Implicit Quasivariational Inequalities