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Generalized Variational Inequalities and Wiener-Hopf Equations in Hilbert Spaces
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作者 SHANG Mei-juan WANG Zhi-guo 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期164-169,共6页
在这份报纸,我们考虑在 Hilbert 空格的框架包含多珍视的放松的单调操作员的概括变化不平等的解决之可能性。我们的结果主要改进 Verma 宣布的相应结果[R U Verma,包含 multivalued 的概括变化不平等放松了单调操作员, Appl 数学 Let... 在这份报纸,我们考虑在 Hilbert 空格的框架包含多珍视的放松的单调操作员的概括变化不平等的解决之可能性。我们的结果主要改进 Verma 宣布的相应结果[R U Verma,包含 multivalued 的概括变化不平等放松了单调操作员, Appl 数学 Lett, 1997, 10:107-109 ] 并且许多其它。 展开更多
关键词 变化不平等 Hilbert 空间 放松( r ) 印射的 -cocoercive
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Perturbed Proximal-Projection Methods for Nonlinear Mixed Variational-Like Inequalities
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作者 Chang Jie FANG 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期127-140,共14页
In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like... In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field. 展开更多
关键词 nonlinear mixed variational-like inequalities perturbed proximal-projection methods common elements nonexpansive mappings relaxed (γ r)-cocoercive mappings.
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