On Total Convexity, Bregman Projections and Stability in Banach Spaces

By Elena Resmerita. 2004

74 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d64a4adcc43613cce76c1c21ead372cf5e41c14c

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Citations in the corpus

• NETT: solving inverse problems with deep neural networks (2018, result): “The proof of the implication (ii) ⇒ (i) is the same as [41, Proposition 2.2].”
• An iterative regularization method for the solution of the split feasibility problem in Banach spaces (2008, unknown): “Resmerita [45] showed continuity for a wide class of Bregman projections with respect to set convergence in the sense of Mosco [40], which can be used to prove stability of the projection methods.”
• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces (2003, unknown): “According to a result from Resmerita (2002), this implies that f C 2 M f c ðXÞ: Observe that if C is not a singleton, then not all orbits of fC converge weakly to the same limit point.”
• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces (2010, unknown): “E. Resmerita (2004).”