By studying partially monotone operators, we are able to show among other results that convex-concave and biconvex mappings defined on Asplund spaces or dually strictly convex spaces are respectively generically Fréchet or Gateaux differentiable
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex functi...
Given a set L subset of R-X of functions defined on X, we consider abstract monotone (or, for short,...
The improved and expanded second edition contains expositions of some major results which have been ...
These notes start with an introduction to the differentiability of convex functions on Banach spaces...
We generalize the generic single-valuedness and continuity of monotone operators defined on open sub...
The aim of this paper is to investigate to what extent the known theory of subdifferentiability and ...
AbstractThe relationships between (strict, strong) convexity of non-differentiable functions and (st...
AbstractIn this paper we show that a convex operator between a weak Asplund space and a suitable ord...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
A function is convex if its epigraph is convex. This geometrical structure has very strong implicati...
We study the relationships between Gateaux, Fréchet and weak Hadamard differentiability of convex fu...
The concept of a monotone operator — which covers both linear positive semi-definite operators and s...
We give sufficient conditions for order-bounded convex operators to be generically differentiable (G...
The concept of a monotone operator --- which covers both linear positive semi-definite operators and...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex functi...
Given a set L subset of R-X of functions defined on X, we consider abstract monotone (or, for short,...
The improved and expanded second edition contains expositions of some major results which have been ...
These notes start with an introduction to the differentiability of convex functions on Banach spaces...
We generalize the generic single-valuedness and continuity of monotone operators defined on open sub...
The aim of this paper is to investigate to what extent the known theory of subdifferentiability and ...
AbstractThe relationships between (strict, strong) convexity of non-differentiable functions and (st...
AbstractIn this paper we show that a convex operator between a weak Asplund space and a suitable ord...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
A function is convex if its epigraph is convex. This geometrical structure has very strong implicati...
We study the relationships between Gateaux, Fréchet and weak Hadamard differentiability of convex fu...
The concept of a monotone operator — which covers both linear positive semi-definite operators and s...
We give sufficient conditions for order-bounded convex operators to be generically differentiable (G...
The concept of a monotone operator --- which covers both linear positive semi-definite operators and...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex functi...
Given a set L subset of R-X of functions defined on X, we consider abstract monotone (or, for short,...
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