Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces
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 t...
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| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/46561 |
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doaj-385cea6371a44c1d9141490d507b5c002020-11-24T21:13:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4656146561Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spacesXue Zhiqun0Department of Mathematics, Shijiazhuang Railway College, Shijiazhuang 050043, ChinaLet 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.http://dx.doi.org/10.1155/IJMMS/2006/46561 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xue Zhiqun |
| spellingShingle |
Xue Zhiqun Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Xue Zhiqun |
| author_sort |
Xue Zhiqun |
| title |
Approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth Banach spaces |
| title_short |
Approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth Banach spaces |
| title_full |
Approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth Banach spaces |
| title_fullStr |
Approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth Banach spaces |
| title_full_unstemmed |
Approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth Banach spaces |
| title_sort |
approximation of fixed points of strongly
pseudocontractive mappings in uniformly smooth banach spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/46561 |
| work_keys_str_mv |
AT xuezhiqun approximationoffixedpointsofstronglypseudocontractivemappingsinuniformlysmoothbanachspaces |
| _version_ |
1716749273153929216 |