Ishikawa-Type and Mann-Type Iterative Processes with Errors for $m$-Accretive Operators
Commun. Korean Math. Soc. 2000 Vol. 15, No. 2, 309-323
Jong Yeoul Park, Jae Ug Jeong
Pusan National University, Dong-Eui University
Abstract : The purposes of this paper are to revise the definitions of Ishikawa and Mann type iterative processes with errors, to study the unique solution of the $m$-accretive operator equation $x+Tx=f$ and the convergence problem of Ishikawa and Mann type iterative processes with errors for $m$-accretive mappings without the Lipschitz condition. The results presented in this paper improve, extend, and unify the corresponding results in [4, 7, 8, 12, 16] in more general setting.
Keywords : $m$-accretive operators; Mann and Ishikawa-type iterative processes with errors
MSC numbers : 47J25
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