Abstract
In this paper, an implicit iterative process is investigated for common fixed points of two different families of nonlinear mappings. Theorems of strong and weak convergence are established in real Hilbert spaces. As an application of the iterative process, inclusion problems are considered.
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Acknowledgments
The authors are extremely grateful to the editor and two referees for useful suggestions that improved the contents of the paper. The second author was supported by Natural Science Foundation of Zhejiang Province (Q12A010097) and (Y6110270), and National Natural Science Foundation of China (11126334).
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Cho, S.Y., Qin, X. & Kang, S.M. Iterative processes for common fixed points of two different families of mappings with applications. J Glob Optim 57, 1429–1446 (2013). https://doi.org/10.1007/s10898-012-0017-y
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DOI: https://doi.org/10.1007/s10898-012-0017-y
Keywords
- Asymptotically pseudocontractive mapping in the intermediate sense
- Asymptotically strict pseudocontractive mapping in the intermediate sense
- Asymptotically nonexpansive mapping in the intermediate sense
- Fixed point
- Iterative process