ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES
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Publication:4802223
DOI10.4134/JKMS.2003.40.1.029zbMath1045.47055MaRDI QIDQ4802223
Liu, Zeqing, Kang, Shin Min, Soo Hak Shim
Publication date: 8 December 2003
Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)
Related Items (6)
Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces ⋮ Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces ⋮ The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous \(\varphi \)-strongly accretive operators in uniformly smooth Banach spaces ⋮ Exponential inequalities for Mann’s stochastic algorithm ⋮ Implicit Mann type iteration method involving strictly hemicontractive mappings in Banach spaces ⋮ Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces
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