Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces

ZHANG Shi-sheng

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(4): 359-370

ZHANG Shi-sheng. Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(4): 359-370.

Citation:

ZHANG Shi-sheng. Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(4): 359-370.

Citation:

ZHANG Shi-sheng. Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(4): 359-370.

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Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces

ZHANG Shi-sheng

Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Received Date: 2000-12-12
Rev Recd Date: 2001-11-05
Publish Date: 2002-04-15

Abstract

Abstract

Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mappings in Banach spaces were obtained. The results improve, extend and include some recent results.
- accretive mapping,
- pseudo-contractive mapping,
- hemi-accretive mapping,
- hemi-pseudo-contractive mapping

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References(17)

References

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