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Fixed point iterations for a class of nonlinear mappings in certain Banach spaces

Abstract

It is proved that both the Mann iteration method and the Ishikawa iteration method converge strongly, in real Banach spaces with a certain property, to the unique fixed point of nonlinear mappings belonging to class C. 15 refs.
Authors:
Publication Date:
Dec 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/398
Reference Number:
SCA: 661300; PA: AIX-23:045090; SN: 92000742969
Resource Relation:
Other Information: PBD: Dec 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; TOPOLOGICAL MAPPING; ITERATIVE METHODS; BANACH SPACE; NONLINEAR PROBLEMS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10145273
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92630235; TRN: XA9231035045090
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Chidume, C E. Fixed point iterations for a class of nonlinear mappings in certain Banach spaces. IAEA: N. p., 1991. Web.
Chidume, C E. Fixed point iterations for a class of nonlinear mappings in certain Banach spaces. IAEA.
Chidume, C E. 1991. "Fixed point iterations for a class of nonlinear mappings in certain Banach spaces." IAEA.
@misc{etde_10145273,
title = {Fixed point iterations for a class of nonlinear mappings in certain Banach spaces}
author = {Chidume, C E}
abstractNote = {It is proved that both the Mann iteration method and the Ishikawa iteration method converge strongly, in real Banach spaces with a certain property, to the unique fixed point of nonlinear mappings belonging to class C. 15 refs.}
place = {IAEA}
year = {1991}
month = {Dec}
}