๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence and algorithm for solving some generalized mixed variational inequalities

โœ Scribed by Xie Ping Ding; Chun Lin Luo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
427 KB
Volume
37
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, by applying the auxiliary variational principle technique, an existence theorem of solutions for a new class of generalized mixed variational inequalities is proved in Hilbert spaces. A novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed. The convergence criteria and error estimates are also given. These results of existence, algorithm, and convergence are new and generalize some corresponding results involving single-valued mappings in recent literatures. (~) 1999 Elsevier Science Ltd. All rights reserved.

Keywords--Generalized mixed variational inequality, Auxiliary principle technique, Iterative algorithm.

๐Ÿ“œ SIMILAR VOLUMES

Existence and algorithm of solutions for
Existence and algorithm of solutions for generalized strongly nonlinear mixed variational-like inequalities in Banach spaces
โœ Xie Ping Ding; Jen-Chih Yao; Lu-Chuan Zeng ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 246 KB

In this paper, we introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities in reflexive Banach spaces. The auxiliary principle technique is applied to study the existence and iterative algorithm of solutions for generalized strongly nonlinear mixed variationa

An extragradient algorithm for solving g
An extragradient algorithm for solving general nonconvex variational inequalities
โœ Muhammad Aslam Noor ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 251 KB

In this work, we suggest and analyze an extragradient method for solving general nonconvex variational inequalities using the technique of the projection operator. We prove that the convergence of the extragradient method requires only pseudomonotonicity, which is a weaker condition than requiring m

Modified resolvent algorithm for general
Modified resolvent algorithm for general mixed quasi-variational inequalities
โœ M.A. Noor ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

## It is well known [I] that the general mixed quasi-variational inequalities are equivalent to the implicit resolvent equations. In this paper, we use this alternative formulation to suggest and analyze a modified resolvent algorithm for solving general mixed quasi-variational inequalities. It i