Abstract
A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.
| Original language | English |
|---|---|
| Pages (from-to) | 153-162 |
| Number of pages | 10 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 75 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2012 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Further investigation on iteration processes for pseudocontractive mappings with application. / Ofoedu, Eric U.; Zegeye, Habtu.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 75, No. 1, 01.01.2012, p. 153-162.Research output: Contribution to journal › Article
TY - JOUR
T1 - Further investigation on iteration processes for pseudocontractive mappings with application
AU - Ofoedu, Eric U.
AU - Zegeye, Habtu
PY - 2012/1/1
Y1 - 2012/1/1
N2 - A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.
AB - A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.
UR - http://www.scopus.com/inward/record.url?scp=80053961793&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053961793&partnerID=8YFLogxK
U2 - 10.1016/j.na.2011.08.015
DO - 10.1016/j.na.2011.08.015
M3 - Article
VL - 75
SP - 153
EP - 162
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 1
ER -