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.
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Communicated by ZHANG Shi-sheng
Biography: GU Feng (1960-), Associate Professor
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Feng, G. Iterative process for certain nonlinear mappings with lipschitz condition. Appl Math Mech 22, 1458–1467 (2001). https://doi.org/10.1007/BF02435550
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DOI: https://doi.org/10.1007/BF02435550
Key words
- σ-strongly accretive operator
- σ-strongly pseudo-contractive mapping
- Ishikawa iterative sequence
- Mann iterative sequence