๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Perturbed Proximal Point Algorithms for Generalized Quasivariational Inclusions

โœ Scribed by Xie Ping Ding

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
224 KB
Volume
210
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we study a class of generalized quasivariational inclusions. By using the properties of the resolvent operator associated with a maximal monotone mapping in Hilbert space, we have established an existence theorem of solutions for generalized quasivariational inclusions, suggesting a new iterative algorithm and a perturbed proximal point algorithm for finding approximate solutions which strongly converge to the exact solution of the generalized quasivariational inclusions. As special cases, some known results in this field are also discussed. แฎŠ 1997 Academic Press

๐Ÿ“œ SIMILAR VOLUMES

Mann and Ishikawa Type Perturbed Iterati
Mann and Ishikawa Type Perturbed Iterative Algorithms for Generalized Quasivariational Inclusions
โœ K.R. Kazmi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 218 KB

In this paper, we introduce a class of generalized quasivariational inclusions and show its equivalence with a class of fixed point problems by making use of the properties of proximal maps. Using this equivalence, we develop the Mann and Ishikawa type perturbed iterative algorithms for this class o

Perturbed Algorithms and Sensitivity Ana
Perturbed Algorithms and Sensitivity Analysis for a General Class of Variational Inclusions
โœ Samir Adly ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 229 KB

In the present paper, we study a perturbed iterative method for solving a general class of variational inclusions. An existence result which generalizes some known results in this field, a convergence result, and a new iterative method are given. We also prove the continuity of the perturbed solutio

Iterative Algorithm for Finding Approxim
Iterative Algorithm for Finding Approximate Solutions to Completely Generalized Strongly Nonlinear Quasivariational Inequalities
โœ Lu-Chuan Zeng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

In this paper, we introduce a class of completely generalized strongly nonlinear quasivariational inequalities and construct a new iterative algorithm, which includes many known algorithms as special cases to solve variational inequalities and quasivariational inequalities. Further, we prove the con