ON MULTIVALUED NONLINEAR VARIATIONAL INCLUSION PROBLEMS WITH (A, eta)-ACCRETIVE MAPPINGS IN BANACH SPACES
نویسنده
چکیده
Based on the notion of (A,η)-accretive mappings and the resolvent operators associated with (A,η)-accretive mappings due to Lan et al., we study a new class of multivalued nonlinear variational inclusion problemswith (A,η)-accretivemappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving (A,η)-accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in q-uniformly smooth Banach spaces.
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