Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 13 Issue 4
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- Pages.765-773
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- 1998
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
ISHIKAWA AND MANN ITERATION METHODS FOR STRONGLY ACCRETIVE OPERATORS
- JONG YEOUL PARK (Department of Mathematics Pusan National University) ;
- JAE UG JEONG (Department of Mathematics Dong-eui University)
- Published : 1998.10.01
Abstract
Let E be a smooth Banach space. Suppose T : E longrightarrow E is a strongly accretive map. It is proved that each of the two well known fixed point iteration methods (the Mann and Ishikawa iteration methods), under suitable conditions, converges strongly to a solution of the equation Tx = f.
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