The relevance of convex analysis for the study of monotonicity

From MaRDI portal
Publication:1883100

DOI10.1016/j.na.2004.05.018zbMath1078.47008OpenAlexW1968577332MaRDI QIDQ1883100

Jean-Paul Penot

Publication date: 1 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.05.018



Related Items

The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n, A new condition for maximal monotonicity via representative functions, Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems, Maximal monotonicity criteria for the composition and the sum under weak interiority conditions, Autoconjugate representers for linear monotone operators, On Bregman-type distances for convex functions and maximally monotone operators, Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative, Minimal antiderivatives and monotonicity, Location, identification, and representability of monotone operators in locally convex spaces, Homogenization of a parabolic model of ferromagnetism, On a sufficient condition for equality of two maximal monotone operators, On the generalized parallel sum of two maximal monotone operators of Gossez type (D), Preserving maximal monotonicity with applications in sum and composition rules, An additive subfamily of enlargements of a maximally monotone operator, Enlargements: a bridge between maximal monotonicity and convexity, Representable monotone operators and limits of sequences of maximal monotone operators, Variational formulation and structural stability of monotone equations, A stand-alone analysis of quasidensity, Subdifferentials with autoconjugate Fitzpatrick function, Some criteria for maximal abstract monotonicity, Unnamed Item, Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions, Some problems about the representation of monotone operators by convex functions, Natural closures, natural compositions and natural sums of monotone operators, On cyclic and \(n\)-cyclic monotonicity of bifunctions, Second order cones for maximal monotone operators via representative functions, An extension of the Fitzpatrick theory, Applications of convex analysis within mathematics, Douglas-Rachford splitting algorithm for solving state-dependent maximal monotone inclusions, A dual criterion for maximal monotonicity of composition operators, A convex-analytical approach to extension results for \(n\)-cyclically monotone operators, Structural Compactness and Stability of Semi-Monotone Flows, On the variational representation of monotone operators, Convex analysis can be helpful for the asymptotic analysis of monotone operators, About the maximal monotonicity of the generalized sum of two maximal monotone operators, SSDB spaces and maximal monotonicity, Maximality of sums of two maximal monotone operators in general Banach space, Maximal abstract monotonicity and generalized Fenchel's conjugation formulas, Linear monotone subspaces of locally convex spaces, Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter, Minimal convex functions bounded below by the duality product, Scale-transformations in the homogenization of nonlinear magnetic processes, A priori estimates for the Fitzpatrick function, Lipschitz regularity for elliptic equations with random coefficients, The sum and chain rules for maximal monotone operators, All maximal monotone operators in a Banach space are of type FPV, Enlargements of positive sets, The kernel average for two convex functions and its application to the extension and representation of monotone operators, Representation of generalized monotone multimaps, Weaker Constraint Qualifications in Maximal Monotonicity



Cites Work