Fundamental theorems of nondominated solutions associated with cones in normed linear spaces

A. Charnes; W.W. Cooper; Q.L. Wei; Z.M. Huang

doi:10.1016/0022-247X(90)90195-L

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Fundamental theorems of nondominated solutions associated with cones in normed linear spaces

Journal article

Peer reviewed

Fundamental theorems of nondominated solutions associated with cones in normed linear spaces

A. Charnes, W.W. Cooper, Q.L. Wei and Z.M. Huang

Journal of mathematical analysis and applications, Vol.150(1), pp.54-78

1990

DOI: https://doi.org/10.1016/0022-247X(90)90195-L

Abstract

Vector spaces

Programming (Mathematics)

Normed linear spaces

Essential properties of multiobjective programming in real normed linear spaces are studied. Necessary and sufficient conditions for nondominated solutions under regularity and Fréchet differentiability assumptions are developed.

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Title: Fundamental theorems of nondominated solutions associated with cones in normed linear spaces
Creators: A. Charnes - The University of Texas at Austin
W.W. Cooper
Q.L. Wei - The University of Texas at Austin
Z.M. Huang
Publication Details: Journal of mathematical analysis and applications, Vol.150(1), pp.54-78
Academic Unit: Adelphi University; Decision Sciences and Marketing; Robert B. Willumstad School of Business
Resource Type: Journal article
DOI: https://doi.org/10.1016/0022-247X(90)90195-L
Record Identifier: 991004347080006266