Đang chuẩn bị nút TẢI XUỐNG, xin hãy chờ
Tải xuống
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ON MULTIVALUED NONLINEAR VARIATIONAL INCLUSION PROBLEMS WITH (A,η)-ACCRETIVE MAPPINGS IN BANACH SPACES | ON MULTIVALUED NONLINEAR VARIATIONAL INCLUSION PROBLEMS WITH A n -ACCRETIVE MAPPINGS IN BANACH SPACES HENG-YOU LAN Received 20 January 2006 Revised 12 May 2006 Accepted 15 May 2006 Based on the notion of A n -accretive mappings and the resolvent operators associated with A n -accretive mappings due to Lan et al. we study a new class of multivalued nonlinear variational inclusion problems with A n -accretive mappings in Banach spaces and construct some new iterative algorithms to approximate the solutions of the nonlinear variational inclusion problems involving A n -accretive mappings. We also prove the existence of solutions and the convergence of the sequences generated by the algorithms in -uniformly smooth Banach spaces. Copyright 2006 Heng-You Lan. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Recently in order to study extensively variational inequalities and variational inclusions which are providing mathematical models to some problems arising in economics mechanics and engineering science Ding 1 Huang and Fang 10 Fang and Huang 3 Verma 14 15 Fang and Huang 4 5 Huang and Fang 9 Fang et al. 2 have introduced the concepts of n-subdifferential operators maximal n-monotone operators generalized monotone operators named H-monotone operators A-monotone operators H n -monotone operators in Hilbert spaces H-accretive operators generalized m-accretive mappings and H n -accretive operators in Banach spaces and their resolvent operators respectively. Very recently Fang et al. 7 studied the H n -monotone operators in Hilbert spaces which are a special case of H n -accretive operator 2 . Some works are motivated by this work and some related works. The iterative algorithms for the variational inclusions with H-accretive operators can be found in the paper 6 . Further Lan et al. 11 introduced
