Abstract
This paper introduces an Ishikawa type iterative algorithm for finding approximating solutions of a class of multi-valued variational inclusion problems. Characterization of strong convergence of this iterative method is established.
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L. C. Ceng’s research partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China and the Dawn Program Foundation in Shanghai.
S. Schaible’s research partially supported by the National Science Council of Taiwan.
This research was partially supported by the grant NSC 96-2628-E-110-014-MY3.
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Ceng, L.C., Schaible, S. & Yao, J.C. On the characterization of strong convergence of an iterative algorithm for a class of multi-valued variational inclusions. Math Meth Oper Res 70, 1–12 (2009). https://doi.org/10.1007/s00186-008-0227-8
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DOI: https://doi.org/10.1007/s00186-008-0227-8
Keywords
- Variational inclusion
- Iterative algorithms
- m-Accretive mappings
- \({\phi}\)-Strongly accretive mappings
- H-generalized Lipschitz mappingss
- H-Uniformly continuous mappings