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Iterative process with errors to nonlinear Ф-strongly accretive operator equations in arbitrary Banach spaces

✍ Scribed by Xie Ping Ding

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
449 KB
Volume
33
Category
Article
ISSN
0898-1221

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✦ Synopsis

AbstractmLet x be an arbitrary Banach space and T : D(T) C X --~ X be a Lipschitz C-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tz --/ under weaker conditions are given. The related results deal with the problems that the Mann and Ishikawa iterative sequences with errors strongly converge to the unique fixed point of Lipschitz ¢-hemicontractive operators.

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Iterative methods with mixed errors for perturbed m-accretive operator equations in arbitrary Banach spaces
✍ Jong Soo Jung; Yeol Je Cho; Haiyun Zhou 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 589 KB

X be a real Banach space, A : X + 2x a uniformly continuous m-accretive operator with nonempty closed values and bounded range R(A), and S : X + X a uniformly continuous strongly accretive operator with bounded range R(I -S). It is proved that the Ishikawa and Mann iterative processes with mixed err