Research Article Generalized Nonlinear Variational Inclusions Involving (A,)-Monotone Mappings in Hilbert Spaces

نویسندگان

  • Yeol Je Cho
  • Xiaolong Qin
  • Meijuan Shang
  • Yongfu Su
  • Mohamed Amine Khamsi
چکیده

A new class of generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since (A,η)monotonicity generalizes A-monotonicity and H-monotonicity, results obtained in this paper improve and extend many others.

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تاریخ انتشار 2008