1998•Communications of the Korean Mathematical SocietyRequires access

ISHIKAWA AND MANN ITERATION METHODS FOR STRONGLY ACCRETIVE OPERATORS

Jong Yeoul Park, Jae Ug Jeong

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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Key concepts: Mathematics, Banach space, Fixed-point iteration, Fixed point, Pure mathematics, Space (punctuation), Applied mathematics, Discrete mathematics