Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space  

Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space

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作  者:刘英 

机构地区:[1]College of Mathematics and Computer,Hebei University

出  处:《Applied Mathematics and Mechanics(English Edition)》2009年第7期925-932,共8页应用数学和力学(英文版)

摘  要:In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then, we show that the sequence converges strongly to a common element of the two sets. Our results improve and extend the corresponding results reported by many others.In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then, we show that the sequence converges strongly to a common element of the two sets. Our results improve and extend the corresponding results reported by many others.

关 键 词:relatively nonexpansive mapping generalized projection inverse-strongly-monotone variational inequality p-uniformly convex 

分 类 号:O177.91[理学—数学]

 

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