Ekeland's variational principle and its equivalent theorems in vector optimization
type: Item
instance of: scholarly article
title: Ekeland's variational principle and its equivalent theorems in vector optimization
zbMATH Open document ID: 1152.49016
author: Yousuke Araya
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-07-21T00:00:00Z
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 5303187
zbMATH Keywords: Ekeland's variational principle
zbMATH Keywords: Caristi's fixed point theorem
zbMATH Keywords: Takahashi's nonconvex minimization theorem
zbMATH Keywords: vector-valued function
zbMATH Keywords: nonlinear scalarization
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.04.055
OpenAlex ID: W2083978795
cites work: Q4695312
cites work: A general principle on ordered sets in nonlinear functional analysis
cites work: Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
cites work: On the variational principle
cites work: Variational methods in partially ordered spaces
cites work: On the vectorial Ekeland's variational principle and minimal points in product spaces
cites work: Q4887340
cites work: Q4461359
cites work: \(\epsilon\)-solutions in vector minimization problems
cites work: Convex functions, monotone operators and differentiability.
cites work: Fixed point theorems for multivalued mappings on complete metric spaces
cites work: Q3976098
cites work: A generalization of ekellandz’s variational principle
cites work: Q4312999
DOI: 10.1016/J.JMAA.2008.04.055
description: scientific article; zbMATH DE number 5303187