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

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10.1007/s00186-007-0205-6

Cite this

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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.

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KW - Vector Ekeland's Variational Principle

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

Abstract

Keywords

ASJC Scopus subject areas

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