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Applications of fixed-point and optimization methods to the multiple-set split feasibility problem
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نویسنده
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yao y. ,chen r. ,marino g. ,liou y.c.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. it can be a model for many inverse problems where constraints are imposed on the solutions in the domain of a linear operator as well as in the operator's range. it generalizes the convex feasibility problem as well as the two-set split feasibility problem. in this paper,we will review and report some recent results on iterative approaches to the multiple-set split feasibility problem. © 2012 yonghong yao et al.
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آدرس
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department of mathematics,tianjin polytechnic university, China, department of mathematics,tianjin polytechnic university, China, dipartimento di matematica,università della calabria, Italy, department of information management,cheng shiu university, Taiwan
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Authors
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