๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Solvability of Multivalued General Mixed Variational Inequalities

โœ Scribed by Muhammad Aslam Noor

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
94 KB
Volume
261
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we use the auxiliary principle technique to suggest a new class of predictor-corrector algorithms for solving multivalued general mixed variational inequalities. The convergence of the proposed method only requires the partially relaxed strong monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain a number of known and new results for solving various classes of variational inequalities.

๐Ÿ“œ SIMILAR VOLUMES

Auxiliary Principle for Generalized Mixe
Auxiliary Principle for Generalized Mixed Variational-Like Inequalities
โœ Muhammad Aslam Noor ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

In this paper, we use the auxiliary principle technique to prove the existence of a solution of some new classes of variational inequalities, which are called the generalized mixed variational-like inequalities. This technique is used to analyze an iterative algorithm. Several special cases, which c

A Class of Projection Methods for Genera
A Class of Projection Methods for General Variational Inequalities
โœ Muhammad Aslam Noor; Themistocles M. Rassias ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

In this paper, we consider and analyze a new class of projection methods for solving pseudomonotone general variational inequalities using the Wiener-Hopf equations technique. The modified methods converge for pseudomonotone operators. Our proof of convergence is very simple as compared with other m