Vector Ekeland's variational principle in an F-type topological space

Guang Ya Chen; Xiaoqi Yang; Hui Yu

doi:10.1007/s00186-007-0205-6

Vector Ekeland's variational principle in an F-type topological space

Guang Ya Chen
, Xiaoqi Yang
, Hui Yu

Research output: Journal article publication › Journal article › Academic research › peer-review

10 Citations (Scopus)

Abstract

In this paper, we first give a vector-valued version of Brézis and Browder's scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland's variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland's variational results in complete metric space.

Original language	English
Pages (from-to)	471-478
Number of pages	8
Journal	Mathematical Methods of Operations Research
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/s00186-007-0205-6
Publication status	Published - 1 Jun 2008

Keywords

Cauchy sequence
F-type topological space
Vector Ekeland's Variational Principle

ASJC Scopus subject areas

Software
General Mathematics
Management Science and Operations Research

More information

10.1007/s00186-007-0205-6

Cite this

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AU - Chen, Guang Ya

AU - Yang, Xiaoqi

AU - Yu, Hui

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N2 - In this paper, we first give a vector-valued version of Brézis and Browder's scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland's variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland's variational results in complete metric space.

AB - In this paper, we first give a vector-valued version of Brézis and Browder's scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland's variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland's variational results in complete metric space.

KW - Cauchy sequence

KW - F-type topological space

KW - Vector Ekeland's Variational Principle

UR - https://www.scopus.com/pages/publications/43949084386

U2 - 10.1007/s00186-007-0205-6

DO - 10.1007/s00186-007-0205-6

M3 - Journal article

SN - 1432-2994

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SP - 471

EP - 478

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

IS - 3

ER -

Vector Ekeland's variational principle in an F-type topological space

Abstract

Keywords

ASJC Scopus subject areas

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