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Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces

Authors :
Zhiqun, Xue
Source :
International Journal of Mathematics and Mathematical Sciences; 2006, Vol. 2006 Issue: 1
Publication Year :
2006

Abstract

Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to the unique fixed point of T1+T2.

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
2006
Issue :
1
Database :
Supplemental Index
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Periodical
Accession number :
ejs10697184
Full Text :
https://doi.org/10.1155/IJMMS/2006/46561