Abstract

We take into condideration necessary optimality conditions of minimum principle-type, that is for optimization problems having, besides the usual inequality and/or equality constraints, a set constraint. The first part pf the paper is concerned with scalar optimization problems; the second part of the paper deals with vector optimization problems.

Highlights

  • We take into condideration necessary optimality conditions of minimum principle-type, that is for optimization problems having, besides the usual inequality and/or equality constraints, a set constraint

  • The first part pf the paper is concerned with scalar optimization problems; the second part of the paper deals with vector optimization problems

  • Minimum principle-type necessary optimality conditions usually occur in minimization problems where there is a set constraint or abstract constraint, which takes into account those constraints that cannot be expressed by means of neither equalities nor inequalities

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Summary

Published by Canadian Center of Science and Education

Minimum Principle-Type Necessary Optimality Conditions in Scalar and Vector Optimization. Giorgio Giorgi Department of Economics and Management, Via S. Received: February 3, 2017 Accepted: May 22, 2017 Online Published: July 25, 2017 doi:10.5539/jmr.v9n4p168

Introduction
Journal of Mathematics Research
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