ZHANG Qing-bang, DING Xie-ping. g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions[J]. Applied Mathematics and Mechanics, 2007, 28(1): 9-16.
Citation: ZHANG Qing-bang, DING Xie-ping. g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions[J]. Applied Mathematics and Mechanics, 2007, 28(1): 9-16.

g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions

  • Received Date: 2003-12-17
  • Rev Recd Date: 2006-10-11
  • Publish Date: 2007-01-15
  • A new class of g-Eta-monotone mappings and a class of generalized implicit variational-like inclusions involving g-Eta-monotone mappings are introduced. The resolvent operator of g-Eta-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 sequence generated by the algorithm is also proved.
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