Directional Pareto Efficiency: Concepts and Optimality Conditions

Teodor Chelmuş (), Marius Durea () and Elena-Andreea Florea ()
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Teodor Chelmuş: “Al. I. Cuza” University
Marius Durea: “Al. I. Cuza” University
Elena-Andreea Florea: “Al. I. Cuza” University

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 1, No 14, 336-365

Abstract: Abstract We introduce and study a notion of directional Pareto minimality with respect to a set that generalizes the classical concept of Pareto efficiency. Then, we give separate necessary and sufficient conditions for the newly introduced efficiency and several situations, concerning the objective mapping and the constraints, are considered. In order to investigate different cases, we adapt some well-known constructions of generalized differentiation; the connections with some recent directional regularities come naturally into play. As a consequence, several techniques from the study of genuine Pareto minima are considered in our specific situation.

Keywords: Directional Pareto minimality; Optimality conditions; Directional tangent cones; Directional regularity; Set-valued optimization; 54C60; 46G05; 90C46 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-019-01503-0

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