Abstract
Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mapping in Banach spaces were obtained. The results improve, extend and include some recent results.
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Contributed by Zhang Shi-sheng
Biography: Zhang Shi-zheng (1934-)
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Shi-sheng, Z. Some convergence problem of iterative sequences for accretive and pseudo-contractive type mapping in banach spaces. Appl Math Mech 23, 394–408 (2002). https://doi.org/10.1007/BF02436208
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DOI: https://doi.org/10.1007/BF02436208
Key words
- accretive mapping
- pseudo-contractive mapping
- hemi-accretive mapping
- hemi-pseudo-contractive mapping
- Ishikawa iterative sequence
- Mann iterative sequence
- steepest descent sequence