On the problem of dissipative perturbations of nonexpansive mappings

Authors
Luo, YS
Citation
Ys. Luo, On the problem of dissipative perturbations of nonexpansive mappings, APP MATH ME, 22(4), 2001, pp. 478-482
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
22
Issue
4
Year of publication
2001
Pages
478 - 482
Database
ISI
SICI code
0253-4827(200104)22:4<478:OTPODP>2.0.ZU;2-O
Abstract
Some Fixed point theorems for mappings of the type - A + T are established, where P is a cone in a Hilbert space, A: P --> 2(P) is an accretive mappin gs and T: P --> P is a nonexpansive mappings. In application, the results p resented in the paper are used to study the existence problem of solutions far a class of nonlinear integral equations in L-2 (Omega).