Generalized Nonlinear Variational Inclusions Involving [inline-graphic not available: see fulltext]-Monotone Mappings in Hilbert Spaces

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作者
Yeol Je Cho
Xiaolong Qin
Meijuan Shang
Yongfu Su
机构
[1] Gyeongsang National University,Department of Mathematics Education and the RINS
[2] Gyeongsang National University,Department of Mathematics Education
[3] Shijiazhuang University,Department of Mathematics
[4] Tianjin Polytechnic University,Department of Mathematics
关键词
Differential Geometry; Computational Biology;
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摘要
A new class of generalized nonlinear variational inclusions involving [inline-graphic not available: see fulltext]-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with [inline-graphic not available: see fulltext]-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Since [inline-graphic not available: see fulltext]-monotonicity generalizes [inline-graphic not available: see fulltext]-monotonicity and [inline-graphic not available: see fulltext]-monotonicity, results obtained in this paper improve and extend many others.
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