On multivalued nonlinear variational inclusion problems with Open image in new window -accretive mappings in Banach spaces
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Based on the notion of Open image in new window -accretive mappings and the resolvent operators associated with Open image in new window -accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problems with Open image in new window -accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving Open image in new window -accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in Open image in new window -uniformly smooth Banach spaces.
KeywordsBanach Space Iterative Algorithm Variational Inclusion Smooth Banach Space Inclusion Problem
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