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Auxiliary Principle Technique for Solving Split Feasibility Problems |
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PP: 221-227 |
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Author(s) |
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Muhammad Aslam Noor,
Khalida Inayat Noor,
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Abstract |
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| Let K and C be nonempty, closed and convex sets in Rn and Rm respectively and A be an m £ n real matrix. The split
feasibility problem is to find u 2 K with Au 2 C: Many problems arising in the image reconstruction can be formulated in this
form. In this paper, we use the auxiliary principle technique to suggest and analyze some new iterative algorithms for solving the split
feasibility problems. Our new algorithms include the previously known ones as special cases. We also study the convergence criteria
of these algorithms under some weaker conditions. In this respect, our results present a refinement and improvement of the previously
known results. |
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