Gâteaux derivative

Known as: Gâteaux gradient, Gateaux variation, Gateaux differential

In mathematics, the Gâteaux differential or Gâteaux derivative is a generalization of the concept of directional derivative in differential calculus…

Papers overview

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2015

This paper summarizes the core definitions and results regarding the chain differential for functions in locally convex…

2014

Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain…

2012

In this paper we formulate and study the existence and uniqueness of the solution for a class of stochastic mixed variational…

2010

Let T be an asymptotically nonexpansive self-mapping of a nonempty closed, bounded, and starshaped (with respect to zero) subset…

2007

Suppose $E$ is a real Banach space with uniform normal structure and suppose $E$ has a uniformly Gateaux differentiable norm. Let…

2005

We investigate a chip-level minimum mean-square-error (MMSE) decision-feedback equalizer (DFE) for the downlink receiver of…

2002

Abstract. We study Banach spaces X such that given a norming subspace Y of X*, X admits an equivalent Gâteaux differentiable norm…

1999

We give a characterization of K-weakly precompact sets in terms of uniform Gateaux differentiability of certain continuous convex…

1992

Introduction A topological. space X is said to be fragmented by a metric p if for every e > 0 and every subset Y of X there…

1981

We find necessary and sufficient conditions for maximizing a wide class of nonlinear, nonseparable functionals under separable…