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| Content Provider | Springer Nature Link |
|---|---|
| Author | Yao, Jen Chih Ceng, Lu Chuan |
| Copyright Year | 2011 |
| Abstract | The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of the variational inequality problem for a monotone, Lipschitz continuous mapping. We introduce a modified hybrid Mann iterative scheme with perturbed mapping which is based on well-known CQ method, Mann iteration method and hybrid (or outer approximation) method. We establish a strong convergence theorem for three sequences generated by this modified hybrid Mann iterative scheme with perturbed mapping. Utilizing this theorem, we also design an iterative process for finding a common fixed point of two mappings, one of which is an asymptotically strict pseudocontractive mapping in the intermediate sense and the other taken from the more general class of Lipschitz pseudocontractive mappings. |
| Ending Page | 191 |
| Page Count | 25 |
| Starting Page | 167 |
| File Format | |
| ISSN | 01678019 |
| e-ISSN | 15729036 |
| Journal | Acta Applicandae Mathematica |
| Issue Number | 2 |
| Volume Number | 115 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2011-04-19 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Strong convergence Monotone mapping Modified hybrid Mann iterative scheme with perturbed mapping Theoretical, Mathematical and Computational Physics Variational and other types of inequalities involving nonlinear operators (general) Mathematics Statistical Physics, Dynamical Systems and Complexity Asymptotically strict pseudocontractive mapping in the intermediate sense Variational inequality Computer Science Mechanics Contraction-type mappings, nonexpansive mappings, $A$ -proper mappings, etc. Demiclosedness principle Fixed point |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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