A Quasi-Variational Inequality Arising in Elastohydrodynamics

A Quasi-variational Inequality Problem in Superconductivity

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...

Generalized Quasi-Variational-Like Inequality Problem

Hölder continuity of a parametric variational inequality

‎In this paper‎, ‎we study the Hölder continuity of solution mapping to a parametric variational inequality‎. ‎At first‎, ‎recalling a real-valued gap function of the problem‎, ‎we discuss the Lipschitz continuity of the gap function‎. ‎Then under the strong monotonicity‎, ‎we establish the Hölder continuity of the single-valued solution mapping for the problem‎. ‎Finally‎, ‎we apply these resu...

α-Well-Posedness for Mixed Quasi Variational-Like Inequality Problems

and Applied Analysis 3 It is worth noting that if α 0, then the definitions of α-well-posedness, αwell-posedness in the generalized sense, L-α-well-posedness, and L-α-well-posedness in the generalized sense for MQVLI , respectively, reduce to those of the well-posedness, well-posedness in the generalized sense, L-well-posedness, and L-well-posedness in the generalized sense for MQVLI in 20 . We...

On Minimax Inequality and Generalized Quasi–variational Inequality in H-spaces

In this paper, we give a new minimax theorem and two new existence theorems of solutions for generalized quasi–variational inequalities in H-spaces. Our results improve and develop some famous results.