Set-valued implicit Wiener-Hopf equations and generalized strongly nonlinear quasivariational inequalities

• Autorzy: Ding X. P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

generalized strongly nonlinear quasivariational inequality; set-valued implicit Wiener-Hopf equation,; iterative algorithm; convergence criteria

PL

ustawienia domyślne wartości równania Wiener-Hopf; algorytm iteracyjny powtarzający się; kryterium konwergencji(zbieżności)

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1998
• Tom: Vol. 4, nr 1
• Strony: 75--87
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Ding X. P.

• Department of Mathematics Sichuan Normal University Chengdu, Sichuan P. R. China 610066