Accession Number : AD0779439

Title :   First-Order Conditions for Nonlinear Pareto Optimization.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Robinson,Stephen M.

Report Date : APR 1974

Pagination or Media Count : 28

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)

Descriptors :   *NONLINEAR PROGRAMMING, BANACH SPACE, CONVEX SETS, VECTOR SPACES, OPTIMIZATION

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE