Smooth optimization using global and local low-rank regularizers. [PDF]
Lobos RA +3 more
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An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems. [PDF]
Bechtel S, Veraar M.
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Optimal vaccination model of airborne infection under variable humidity and demographic heterogeneity for hybrid fractional operator technique. [PDF]
Rashid S +5 more
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Parallel algorithms for maximal monotone operators of local type
In solving discretized elliptic problems, the idea of using two-stage iterative methods (with inner ADI iterations for model systems) turned out to be very productive (theoretical results and practical applications can be found in the reviewer's book ``Optimization in solving elliptic problems'', CRC Press, Boca Raton, 1995).
Layton, W.J. +2 more
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Statistical Korovkin-type theorem for monotone and sublinear operators
"In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples."
IANCU, Ionu¸t T., Ionut T. Iancu
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On a type of monotonicity for multidimensional operators
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaspar Mayor, Tomasa Calvo
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A Degree for Operators of Monotone Type
Mathematische Nachrichten, 1983The degreee of operators between such Banach spaces that form a dual system in the sense of Schaefer is defined, under a weak continuity hypothesis. The usual properties of the degree are derived for operators of monotone type and it is computed for coercive and monotone mappings.
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Compact Operators and Operators of Monotone Type
2019Compact maps constitute a class of maps to which we can extend many of the results which are valid for maps between finite-dimensional spaces. Compactness plays a central role in the infinite-dimensional extension of degree theory (Leray–Schauder degree, see Chap. 3) and in fixed point theory (see Chap. 4).
Nikolaos S. Papageorgiou +2 more
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Korovkin-Type Theorems for Statistically Convergent Sequences of Monotone and Sublinear Operators
Bulletin of the Malaysian Mathematical Sciences Society, 2023The authors study the statistical convergence almost everywhere, in measure and in \(L^p\) in a Korovkin-type theorem for monotone and sublinear operators. The results are illustrated by a series of concrete examples.
Sorin G. Gal, Ionut T. Iancu
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All Maximal Monotone Operators in a Banach Space are of Type FPV
Set-Valued and Variational Analysis, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eberhard, A., Wenczel, R.
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