✦ LIBER ✦

Tangent Projection Equations and General Variational Inequalities

✍ Scribed by Naihua Xiu; Jianzhong Zhang; Muhammad Aslam Noor

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 81 KB
Volume: 258
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7517

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we establish the equivalence between the general variational inequalities and tangent projection equations. This equivalence is used to discuss the local convergence analysis of a wide class of iterative methods for solving the general variational inequalities. We show that some existing methods can identify the optimal face after finitely many iterations under the degenerate assumption.

📜 SIMILAR VOLUMES

A Class of Projection Methods for Genera

A Class of Projection Methods for General Variational Inequalities

✍ Muhammad Aslam Noor; Themistocles M. Rassias 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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

Set-Valued Resolvent Equations and Mixed

Set-Valued Resolvent Equations and Mixed Variational Inequalities

✍ Muhammad Aslam Noor; Khalida Inayat Noor; Th.M Rassias 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 211 KB

In this paper, we introduce and study a new class of variational inequalities, which is called the generalized set-valued mixed variational inequality. The resolvent operator technique is used to establish the equivalence among generalized set-valued variational inequalities, fixed point problems, a

On the Generalized Nonlinear Variational

On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities

✍ Su-Jane Yu; Jen-Chih Yao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 179 KB

On a Class of Generalized Variational In

On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities

✍ S.S. Chang; C.J. Zhang 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 291 KB

Generalized Variational and Quasi-Variat

Generalized Variational and Quasi-Variational Inequalities with Discontinuous Operators

✍ M.Leigh Lunsford 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 254 KB

We study the existence of solutions to generalized variational and generalized quasi-variational inequalities with discontinuous operators. We obtain results which generalize and extend previously known theorems. We also compare our new continuity condition on the operator in the variational inequal

Variations and Generalizations of Bohr′s

Variations and Generalizations of Bohr′s Inequality

✍ J.E. Pecaric; T.M. Rassias 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 223 KB