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- W2110502570 abstract "In this paper, we study convex analysis and its theoretical applications. We first apply important tools of convex analysis to Optimization and to Analysis. We then show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in Hilbert space, and present a new proof of the sum theorem in reflexive spaces. More technically, we also discuss autoconjugate representers for maximally monotone operators. Finally, we consider various other applications in mathematical analysis." @default.
- W2110502570 created "2016-06-24" @default.
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- W2110502570 date "2013-08-30" @default.
- W2110502570 modified "2023-10-03" @default.
- W2110502570 title "Applications of convex analysis within mathematics" @default.
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- W2110502570 doi "https://doi.org/10.1007/s10107-013-0707-3" @default.
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