摘要:

In the paper conditions warrantying that the intersection of two metrically upper semicontinuous multifunctions is metrically upper semicontinuous, too, are given.

ISSN:0323-3898    

DOI:10.1080/02331938008842625

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

J.Cea (ed.): Optimization Techniques. Modeling and Optimization in the Service of Man. Part 1/Part 2. Lecture Notes in Computer Science, Vol, 40/41. Springer-Verlag Berlin-Heidelberg-New York 1976, 854 S./852 S., DM 62.–/ DM 62.–.

ISSN:0323-3898    

DOI:10.1080/02331938008842626

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

This paper is devoted to the Hamiltonian approach for extremal problems concerning convex (multi-valued) mapping. The approach exploits the concept of a Hamiltonian function permitting simplified proofs and useful mathematical insights. Moreover it provides in a duality framework a common point ox view upon the methods used. by Rockafellar, (the theory of convex processes), Pshenichnyi (the conjugate transformation method) and CASS (the symmetric duality scheme) to construct optimality conditions. The theory is used to develop a complete characterization of optimal solutions for multi-period convex programming problems.

ISSN:0323-3898    

DOI:10.1080/02331938008842627

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

It is shown that a well-known maximum principle of A. Halkin can be characterized as a special case of a Lagrange-multiplier rule for nonconvex programming problems in quasiordered locally-convex topological vector spaces, established by the author, using a certain concept of subtangential approximations.

ISSN:0323-3898    

DOI:10.1080/02331938008842628

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

J. Acher et J. Gardelle: Algèbre Linéaire. Bordas-Dunod, Paris 1978. Collection “Modules économiques”, 224 S., 45 FF.

ISSN:0323-3898    

DOI:10.1080/02331938008842629

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

In this paper the ordinary concept of supremum will be generalized. After wo have done so duality theorems concerning convex programming problems will be generalized.

ISSN:0323-3898    

DOI:10.1080/02331938008842630

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

D.J. White: Finite Dynamic Programming. An appproach to finite Markov decision Processes. A Wiley-Interscience Publication, John Wiley & Sons, New York 1978, XIII, 204 S., £ 13.50.

ISSN:0323-3898    

DOI:10.1080/02331938008842631

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

Problems of practice and inner mathematical questions can be regarded as programming problems of the following form: max {e(k):k∈E},Eis a set of pairs (K, K0) with a commutative semigroupKandK0∈K. [E] is the set of equivalence-classes referring to an equivalence relation inE. e :E→[E]. The image ofk∈Eunder e is an equivalence-class produced byk. In [E] exists a partial ordering. By means of homological algebra a necessary condition of optimality will be stated.

ISSN:0323-3898    

DOI:10.1080/02331938008842632

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

B.A. Koslow und I.A. Uschakow: Handbuch zur Berchnung der Zuverkässigkeit. Akademie-Verlag Berlin 1978. 598 S., 78,– M.

ISSN:0323-3898    

DOI:10.1080/02331938008842633

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor

摘要:

A class of penalty methods for solving a nonlinear optimization problem is considered, which – starting at an arbitrary point – produce trial solutions belonging to the interior of the feasible region after a finite number of steps and which in the convex case are Hadamard-stable algorithms needing no compactness conditions for convergence, if the Slater condition is satisfied. Otherwise these methods work as exterior penalty methods.

ISSN:0323-3898    

DOI:10.1080/02331938008842634

出版商:Akademic-Verlag    

年代:1980

数据来源: Taylor