An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces

An Inequality Approach to Approximate Solutions of Set Optimization Problems in Real Linear Spaces

This paper explores new notions of approximate minimality in set optimization using a set approach. We propose characterizations of several approximate minimal elements of families of sets in real linear spaces by means of general functionals, which can be unified in an inequality approach. As parti...

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Bibliographic Details
Main Authors: Elisabeth Köbis, Markus A. Köbis, Xiaolong Qin
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Mathematics
Subjects:
set optimization
set relations
nonlinear scalarizing functional
algebraic interior
vector closure
Online Access:https://www.mdpi.com/2227-7390/8/1/143

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