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Convex Feasibility via Monotropic Programming

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Burachik, Regina S.

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Convex Feasibility via Monotropic Programming
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An approach for the convex feasibility problem via Monotropic Programming
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30
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We use recent zero duality gap results arising from Monotropic Programming problem for analyzing consistency of the convex feasibility problem in Hilbert spaces. We characterize consistency in terms of the lower semicontinuity of the infimal convolution of the associated support functions. Based on joint work with Victoria Martín-Márquez.