Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition

GU Feng

Volume 22 Issue 12

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YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you. A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2002, 23(4): 376-380.

Citation:

GU Feng. Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1309-1316.

YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you. A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2002, 23(4): 376-380.

Citation:

GU Feng. Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1309-1316.

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Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition

GU Feng

Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, P. R. China

Received Date: 1999-09-17
Rev Recd Date: 2001-05-31
Publish Date: 2001-12-15

Abstract

Abstract

Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz φ-strongly accretive operators and of fixed points for Lipschitz φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.
- φ-strongly accretive operator,
- φ-strongly pseudo-contractive mapping,
- Ishikawa iterative sequence,
- Mann iterative sequence

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References(14)

References

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