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Huang, Nan-Jing; Gao, Cheng-Jia; Huang, Xiao-Ping

New iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappings. (English) Zbl 1032.47045

Comput. Math. Appl. 43, No. 10-11, 1381-1390 (2002).
Firstly, the approximation of the unique fixed point to a multivalued \(\phi\)-strongly pseudocontractive mapping is considered. The authors present convergence results for a new so-called Ishikawa iteration with errors. Then, convergence results for the iterative solution of nonlinear equations in a Banach space with a multivalued \(\phi\)-strongly accretive mapping are proved.
Reviewer: Etienne Emmrich (Berlin)

Cited in 2 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
65J15 Numerical solutions to equations with nonlinear operators
47H04 Set-valued operators
47H06 Nonlinear accretive operators, dissipative operators, etc.

Keywords:

Banach space; multivalued mapping; nonlinear operator equation; accretive operator; contractivity; Ishikawa iteration with errors; convergence
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References:

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