Journal of optimization theory and applications, 2010-07, Vol.146 (1), p.19-31
2010
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- Autor(en) / Beteiligte
- Titel
- Weak Convergence of an Iterative Method for Pseudomonotone Variational Inequalities and Fixed-Point Problems
- Ist Teil von
- Journal of optimization theory and applications, 2010-07, Vol.146 (1), p.19-31
- Ort / Verlag
- Boston: Springer US
- Erscheinungsjahr
- 2010
- Quelle
- SpringerLink
- Beschreibungen/Notizen
- We consider an iterative scheme for finding a common element of the set of solutions of a pseudomonotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of N nonexpansive mappings. The proposed iterative method combines two well-known schemes: extragradient and approximate proximal methods. We derive a necessary and sufficient condition for weak convergence of the sequences generated by the proposed scheme.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0022-3239eISSN: 1573-2878DOI: 10.1007/s10957-010-9650-0Titel-ID: cdi_proquest_journals_375020884
- Format
- –
- Schlagworte
- Academic disciplines, Applications of Mathematics, Applied mathematics, Applied sciences, Calculus of variations and optimal control, Calculus of Variations and Optimal Control, Optimization, Engineering, Exact sciences and technology, Hilbert space, Inequality, Iterative methods, Mapping, Mathematical analysis, Mathematical programming, Mathematics, Mathematics and Statistics, Operational research and scientific management, Operational research. Management science, Operations Research/Decision Theory, Sciences and techniques of general use, Studies, Theory of Computation