Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities
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X. P. Ding
Abstract
In this paper, we study a class of generalized strongly nonlinear quasivariational inequality problem
(GSNQVIP(T, A, g, D, K(x)))
which include the most of quasivariational inequalities and quasicomplementarity problems as special cases. We prove that the generalized strongly nonlinear quasivariational inequality problem is equivalent to solving the set-valued implicit Wiener–Hopf equation. By using the equivalence, a new iterative algorithm for finding the approximate solutions of the generalized strongly nonlinear quasivariational inequality problems are suggested and analyzed. The convergence criteria for the algorithm is also discussed. These new results include many known results for generalized quasivariational inequalities and generalized quasicomplementarity problems as special cases.
© Heldermann Verlag
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Artikel in diesem Heft
- The Lifting Problem with the Full Ideal
- Contrasting Symmetric Porosity and Porosity
- Some Additive Darboux–Like Functions
- New Existence Theorems for Solutions of Generalized Quasi–Variational Inequalities
- Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
- Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities
- Selfgravitating Electrodynamic Stability of a Fluid-Tar Annular Jet Pervaded by Periodic Time Dependet Electric Field
- The Cauchy Problem for the Einstein–Vlasov System
- The Cauchy Problem for the Einstein–Boltzmann System
