摘要:

A notion of minimality which is weaker than local minimality is introduced, hinging on the concept of sponge introduced by J. Tbjeiman ([4], [5]).

ISSN:0233-1934    

DOI:10.1080/02331938808843346

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

In this paper we characterize the existence of saddlepoints for optimization problems in order complete vector spaces by the existence of order automorphisms of vector space, by the existence of subgradients of the associated perturbing function, and by the existence of directional derivatives of the perturbing function, respectively. The statement of this paper is purely algebraic.

ISSN:0233-1934    

DOI:10.1080/02331938808843347

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

In the present paper a connection between cone approximations of sets and generalized differentiability notions will be given. Using both conceptions we present an approach to derive necessary optimality conditions for optimization problems with inequality constraints. Moreover, several constraint qualifications are proposed to get Kuhn-Tucker-type-conditions.

ISSN:0233-1934    

DOI:10.1080/02331938808843348

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

Brucker, P.; R. Pauly (eds.):Methods of Operations Research, Vol. 49 und 50. Proceedings IX. Symposium on Operations Research. Osnabrück, Aug 1984. Verlag Anton Hain Meisenheim GmbH, Königstein/Ts. 1985,652 S. und 704 S., DM 174,–, ISBN 3-445-02379-4 DM 174,–, ISBN 3-445-02380-8.

ISSN:0233-1934    

DOI:10.1080/02331938808843349

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

Letfni= 1,…p, be a finite number of differentiate functions on the Euclideann-space. We study continuous selections of these functions. The concept of a (non-degenerate) critical point is introduced. In a neighborhood of a noncritical point, the continuous selection turns out to be topologicaily equivalent with a linear function. This result remains true for locally Lipschitz functions.

ISSN:0233-1934    

DOI:10.1080/02331938808843350

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

Bunke, H.; O. Bunke.:Statistical Inference in Linear Models.Statistical Methods of Model Building. Vol. I. John Wiley & Sons Chichester, New York, Brisbane, Toronto 1986, 614 S., ISBN 0-471-10334-9.

ISSN:0233-1934    

DOI:10.1080/02331938808843351

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

In this paper by means of the generalized Fexchel conjugacy in the ease of a certain quadratic coupling functional a c-subdifferential calculus is given. The relationship to the ”lowerC2” functions in the nonconvex and nondifferentiable optimization is proved.

ISSN:0233-1934    

DOI:10.1080/02331938808843352

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

Fandel, G.; M. Grauer; A. Kurzhanski; A.P. Wierzbiciki: Large-Scale Modelling and Interactive Decision Analysis. Lecture Notes in Economics and Mathematical Systems. Vol. 273. Springer-Verlag Berlin, Heidelber, New York, Tokyo 1986, 373 pp., DM 64,–, SIBN 3-540-16785-4.

ISSN:0233-1934    

DOI:10.1080/02331938808843353

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

Linear goal programming (GP) is a widely used tool for dealing with problems involving multiple objectives. This paper aims to develope a new concept of duality for GP. In this concept the dual to a minsum GP problem is a GP problem and the dual to a lexicographic GP problem is a multidimensional lexicographic GP problem. We prove most of the typical dual relations including the saddle-point property and the formula for marginal values.

ISSN:0233-1934    

DOI:10.1080/02331938808843354

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor

摘要:

For optimization problems including inequality constraints the well-known locally and superlinealy convergent methods of Levitin/Polyak, of Robinson and of Wilson (Recursive Quadratic Programming) lead to inequality constrained nonlinear subproblems.

ISSN:0233-1934    

DOI:10.1080/02331938808843355

出版商:Akademic-Verlag    

年代:1988

数据来源: Taylor