نتایج جستجو برای: continuous multifunction

تعداد نتایج: 261723  

Journal: :Order 2013
Nikolai S. Kukushkin

We study when the existence of an increasing selection can be derived from the monotonicity of a multifunction w.r.t. an extension of the basic order from points to subsets. The most interesting results emerge when the target is a lattice and monotonicity is interpreted in one of the ways suggested by A.F. Veinott, Jr. An increasing selection exists if (1) the multifunction is weakly ascending ...

2006
Yuri S. Ledyaev Qiji J. Zhu

We prove a general implicit function theorem for multifunctions with a metric estimate on the implicit multifunction and a characterization of its coderivative. Traditional open covering theorems, stability results, and sufficient conditions for a multifunction to be metrically regular or pseudo-Lipschitzian can be deduced from this implicit function theorem. We prove this implicit multifunctio...

2010
Alberto Bressan Giancarlo Facchi

The paper deals with solutions of a differential inclusion ẋ ∈ F (x) constrained to a compact convex set Ω. Here F is a compact, possibly non-convex valued, Lipschitz continuous multifunction, whose convex closure coF satisfies a strict inward pointing condition at every boundary point x ∈ ∂Ω. Given a reference trajectory x∗(·) taking values in an ε-neighborhood of Ω, we prove the existence of ...

2008
Vasile Lupulescu Mihai Necula MIHAI NECULA

Let X be a separable Banach space, σ > 0 and Cσ := C([−σ, 0],X) the Banach space of the continuous functions from [−σ, 0] into X, K a locally closed set in X and F : [a, b)×Cσ→ 2 X a closed valued and locally integrable bounded multifunction, withF (., φ) measurable and F (t, .) Lipschitz continuous in theHausdorff–Pompeiumetric. In this paper we establish some sufficient conditions in order th...

2007
Ali Ümit Keskin

Abstract – A voltage-mode (VM), multi-input single-output (MISO) type multifunction biquad is proposed. It uses only one operational transresistance amplifier (OTRA) as the active element, while previously reported VM multifunction filters require more OTRAs. Proposed MISO type biquad configuration can realize all five different filter transfer functions. Theoretical results are verified with P...

2004
Maciej Klimek Marta Kosek

It is shown that a composite Julia set generated by an infinite array of polynomial mappings is strongly analytic when regarded as a multifunction of the generating maps. An example of such a multifunction, the values of which have Hölder Continuity Property, is constructed. 1

Journal: :SIAM Journal on Optimization 2010
Xi Yin Zheng Kung Fu Ng

This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or necessary conditions for a generalized equation to have the metric subregularity (i.e., local error bounds for the concerned multifunction) in general Banach spaces. Following the approach of Ioffe [Trans. Amer. Math. Soc....

2002
Abhijit Prasad Wangqi Qiu Rabi Mahapatra

The problem of hardware-software partitioning for systems that are being designed as multifunction systems is addressed. Simulated annealing is known to generate very good solutions for most optimization problems, however the running time of this algorithm can be very high. We apply a modified simulated annealing approach to the partitioning problem resulting in a smaller search space, yet yiel...

1996
A. B. Levy R. T. Rockafellar

We quantify the sensitivity of KKT pairs associated with a parameterized family of nonlinear programming problems. Our approach involves proto-derivatives, which are generalized derivatives appropriate even in cases when the KKT pairs are not unique; we investigate what the theory of such derivatives yields in the special case when the KKT pairs are unique (locally). We demonstrate that the gra...

1997
Helmut Gfrerer Michael Kuhn Michael Jung Ulrich Langer Sergei V. Nepomnyaschikh Ralf Pfau Joachim Schöberl

This paper is devoted to the analysis of a special kind of regularity of multifunction which we call metric pseudo-(sub)regularity, when the multifunction is not metrically (sub)regular at a given point but is metrically (sub)regular at certain points in a neighborhood with moduli possibly tending to infinity with a certain order. By using advanced techniques of generalized differentiation we d...

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