First-Order Conditions for Nonlinear Pareto Optimization.

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Abstract:

It is shown how first-order optimality conditions for nonlinear Pareto optimization may be derived in a conceptually simple and unified manner in terms of certain multivalued functions associated with the optimization problem. Necessary conditions for general problems and sufficient conditions for convex problems are developed, and the classical multiplier conditions are shown to be related in a simple way to these. Author

Author(s):
Robinson, Stephen M.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0028

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1430
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*NONLINEAR PROGRAMMING, BANACH SPACE, CONVEX SETS, VECTOR SPACES, OPTIMIZATION
Field(s)/Group(s):
Operations Research
Keyword(s):
*Pareto optimality
Report Date:
1974 Apr 01