๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Modified fixed-point equations and related iterative methods for variational inequalities

โœ Scribed by Naihua Xiu; Yiju Wang; Xiangsun Zhang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
412 KB
Volume
47
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we study the equivalence characterizations of several modified fixedpoint equations to variational inequalities (VI). Based on these equations, we give some applications in constructing iterative methods for the solution of the VI. Especially, we show global convergence, the sublinear convergence, and the finite termination of a new iterative algorithm under certain conditions.

๐Ÿ“œ SIMILAR VOLUMES

Modified variational iteration method fo
Modified variational iteration method for Boussinesq equation
โœ Tamer A. Abassy; Magdy A. El-Tawil; H. El-Zoheiry ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 316 KB

This paper applies the modified variational iteration method to solve a class of nonlinear partial differential equations. Boussinesq equation is used as a case-study to illustrate the simplicity and effectiveness of the method. Comparison between variational iteration method and Adomian decompositi

Variational Inequalities and Fixed Point
Variational Inequalities and Fixed Point Theorems for PM-Maps
โœ Kunquan Lan; Jeffrey Webb ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

We study maps T for which J y T is pseudo-monotone; we call such T a PM-map. This includes compact maps in suitable spaces and pseudo-contractive maps in Hilbert spaces. We study variational inequalities in a situation which was previously done only when T is compact. We show that our variational in