Infinite non-linear programming

Author:

Hanson M. A.

Abstract

In recent years there has been extensive development in the theory and techniques of mathematical programming in finite spaces. It would be very useful in practice to extend this development to infinite spaces, in order to treat more realistically the problems that arise for example in economic situations involving infinitely divisible processes, and in particular problems involving time as a continuous variable. A more mathematical reason for seeking such generalisation is possibly that of obtaining a unification mathematical programming with other branches of mathematics concerned with extrema, such as the calculus of variations.

Publisher

Cambridge University Press (CUP)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Duality in Convex Infinite Optimization;Encyclopedia of Optimization;2023

2. Dual nonlinear programming problems in partially ordered Banach spaces;Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete;1970

3. Duality for Nonlinear Programming in a Banach Space;SIAM Journal on Applied Mathematics;1967-03

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