Die Erschließung neuer Absatzkanäle im konventionellen Lebensmitteleinzelhandel hat ein rasantes Wachstum des Marktes für ökologische Lebensmittel ermöglicht. Neben positiven Effekten dieses Wachstums, wie einem erhöhten Absatz von Bio-Produkten und umfassenden...

Let C be a nonempty closed convex subset of a uniformly convex and 2-uniformly smooth Banach space E and let Π<Subscript> C </Subscript> be a sunny nonexpansive retraction from E onto C. Let the mappings <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$${T, S: C \to E}$$</EquationSource> </InlineEquation> be γ <Subscript>1</Subscript>-strongly accretive, μ <Subscript>1</Subscript>-Lipschitz continuous and γ <Subscript>2</Subscript>-strongly accretive, μ...</subscript></subscript></subscript></subscript></equationsource></inlineequation></subscript>

We study the behavior of the critical price of an American put option near maturity in an exponential Lévy model. In particular, we prove that in situations where the limit of the critical price is equal to the strike price, the rate of convergence to the limit is linear if and only if the...

Nemirovski’s analysis (SIAM J. Optim. 15:229–251, <CitationRef CitationID="CR15">2005</CitationRef>) indicates that the extragradient method has the O(1/t) convergence rate for variational inequalities with Lipschitz continuous monotone operators. For the same problems, in the last decades, a class of Fejér monotone projection and...</citationref>

This paper investigates solution stability of parametric variational inequalities over Euclidean balls in finite dimensional spaces. We provide exact formulas for computing required coderivatives of the normal cone mappings to Euclidean balls via the initial data. On the basis of these formulas,...

The purpose of this paper is to estimate the approximate solutions for variational inequalities. In terms of estimate functions, we establish some estimates of the sizes of the approximate solutions from outside and inside respectively. By considering the behaviors of estimate functions, we give...

In this paper, properties of differentiable gap functions for variational inequalities and convergence of the corresponding descent methods under a Hilbert space setting are considered. We give various convergence results under different assumptions on the cost mapping, including the monotone...

There is a growing awareness in recent years that the interdependencies among the civil infrastructure systems have significant economic, security and engineering implications that may influence their resiliency, efficiency and effectiveness. To capture the various types of infrastructure...

In this paper, properties of differentiable gap functions for variational inequalities and convergence of the corresponding descent methods under a Hilbert space setting are considered. We give various convergence results under different assumptions on the cost mapping, including the monotone...