g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions
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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.
Key wordsg-η-monotone mapping resolvent operator generalized implicit variational-like inclusion iterative algorithm
Chinese Library ClassificationO177.91
2000 Mathematics Subject Classification47J20 49J40
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