Results 221 to 230 of about 370 (245)
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Calculus Rules for Maximal Monotone Operators in General Banach Spaces
Journal of Convex Analysis, 2008The goal of this article is to provide characterizations of monotonicity and maximality via new properties of the Fitzpatrick function associated with a multi-valued operator. Several calculus rules for maximal monotone operators in non-reflexive Banach space settings are presented.
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Generic differentiability of convex functions and monotone operators
1989The aim of this paper is to investigate to what extent the known theory of subdifferentiability and generic differentiability of convex functions defined on open sets can be carried out in the context of convex functions defined on not necessarily open sets.
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A maximal clone of monotone operations which is not finitely generated
Order, 1986A set of finitary operations on a finite set A is called a clone on A if it contains all projections and is closed under superposition. In his paper [Rozpr. Česk. Akad. Věd., Řada Mat. Přír. Věd. 80, No.4, 3-93 (1970; Zbl 0199.302)], \textit{I. G. Rosenberg} classified the maximal clones. In the paper [Z. Math. Logik Grundl. Math.
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Monotonicity of sequences of positive linear operators generated by measures
Mathematical Notes of the Academy of Sciences of the USSR, 1985The present paper continues an earlier paper in studying multidimensional positive linear operators \(L_ n\) generated by measures. The main result says that for continuous functions defined on \({\mathbb{R}}^ m\) being of exponential growth and convex the sequence \((L_ n(f;x))\) is nondecreasing for each fixed x.
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Another Proof and a Generalization of a Theorem of H. H. Bauschke on Monotone Operators
Optimization, 2022Maicon Marques Alves
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Multiscale Homogenization of Monotone Operators
Discrete and Continuous Dynamical Systems, 2008Peter Wall +2 more
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H-Monotone Operator and Resolvent Operator Technique for Variational Inclusions
Applied Mathematics and Computation, 2003Ya-Ping Fang, Nan-jing Huang
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Generalization of Inclusion–Exclusion Integral for Nondiscrete Monotone Measure Space
Fuzzy Sets and Systems, 2019Aoi Honda, Yoshiaki Okazaki
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