MANN AND ISHIKAWA TYPE PERTURBED ITERATIVE ALGORITHMS FOR GENERALIZEDNONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSIONS

Authors
HUANG NJ
Citation
Nj. Huang, MANN AND ISHIKAWA TYPE PERTURBED ITERATIVE ALGORITHMS FOR GENERALIZEDNONLINEAR IMPLICIT QUASI-VARIATIONAL INCLUSIONS, Computers & mathematics with applications, 35(10), 1998, pp. 1-7
Citations number
19
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
10
Year of publication
1998
Pages
1 - 7
Database
ISI
SICI code
0898-1221(1998)35:10<1:MAITPI>2.0.ZU;2-1
Abstract
In this paper, we introduce a new class of generalized nonlinear impli cit quasi-variational inclusions and prove its equivalence with a clas s of fixed point problems by making use of the properties of maximal m onotone. We also prove the existence of solutions for this generalized nonlinear implicit quasi-variational inclusions and the convergence o f iterative sequences generated by the perturbed algorithms. (C) 1998 Elsevier Science Ltd. All rights reserved.