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On multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces
Journal of Inequalities and Applications volume 2006, Article number: 59836 (2006)
Based on the notion of-accretive mappings and the resolvent operators associated with-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving-accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in-uniformly smooth Banach spaces.
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Lan, HY. On multivalued nonlinear variational inclusion problems with-accretive mappings in Banach spaces. J Inequal Appl 2006, 59836 (2006). https://doi.org/10.1155/JIA/2006/59836
- Banach Space
- Iterative Algorithm
- Variational Inclusion
- Smooth Banach Space
- Inclusion Problem