A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved.
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Contributed by DING Xie-ping
Project supported by the Key Science Foundation of Sichuan Education Department of China (No.2003A081)
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Zhang, Q., Ding, X. g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions. Appl Math Mech 28, 11–18 (2007) doi:10.1007/s10483-007-0102-y
- g-η-monotone mapping
- resolvent operator
- generalized implicit variational-like inclusion
- iterative algorithm
Chinese Library Classification
2000 Mathematics Subject Classification