Work

Improperly Efficient Solutions in a Class of Vector Optimization Problems

Year: 2020

Type: preprint

Abstract: Improperly efficient solutions in the sense of Geoffrion in linear fractional vector optimization problems with unbounded constraint sets are studied in this paper. We give two sets of conditions which assure that all the efficient solutions of a given problem are improperly efficient. We also obtain necessary conditions for an efficient solution to be improperly efficient. As a result, we have new sufficient conditions for Geoffrion's proper efficiency. The obtained results enrich our knowledge on properly efficient solutions in linear fractional vector optimization.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2008.00491

Authors: Huong, N. T. T., Yen, N. D.

Institutions: Le Quy Don Technical University, Institute of Mathematics, Vietnam Academy of Science and Technology

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Foundation for Science and Technology Development, Vietnam Institute for Advanced Study in Mathematics

OpenAlex ID: W3046481179

Cites: 13

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Related to: 10