Vectorial form of Ekeland variational principle with applications to vector equilibrium problems

Suliman Al-Homidan; Qamrul Hasan Ansari; Gabor Kassay

doi:10.1080/02331934.2019.1589469

Vectorial form of Ekeland variational principle with applications to vector equilibrium problems

Suliman Al-Homidan, Qamrul Hasan Ansari^*, Gabor Kassay

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We first derive an Ekeland type variational principle for vector-valued bifunctions without assuming triangular inequality for bifunctions. Then, by using such variational principle, we derive some existence results for solutions of vector equilibrium problems and vector quasi-equilibrium problems.

Original language	English
Pages (from-to)	415-436
Number of pages	22
Journal	Optimization
Volume	69
Issue number	3
DOIs	https://doi.org/10.1080/02331934.2019.1589469
State	Published - 3 Mar 2020

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Ekeland variational principle
existence results
metric spaces
vector equilibrium problems

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1080/02331934.2019.1589469

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title = "Vectorial form of Ekeland variational principle with applications to vector equilibrium problems",

abstract = "We first derive an Ekeland type variational principle for vector-valued bifunctions without assuming triangular inequality for bifunctions. Then, by using such variational principle, we derive some existence results for solutions of vector equilibrium problems and vector quasi-equilibrium problems.",

keywords = "Ekeland variational principle, existence results, metric spaces, vector equilibrium problems",

author = "Suliman Al-Homidan and Ansari, \{Qamrul Hasan\} and Gabor Kassay",

note = "Publisher Copyright: {\textcopyright} 2019, {\textcopyright} 2019 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2020",

month = mar,

day = "3",

doi = "10.1080/02331934.2019.1589469",

language = "English",

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journal = "Optimization",

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TY - JOUR

T1 - Vectorial form of Ekeland variational principle with applications to vector equilibrium problems

AU - Al-Homidan, Suliman

AU - Ansari, Qamrul Hasan

AU - Kassay, Gabor

PY - 2020/3/3

Y1 - 2020/3/3

N2 - We first derive an Ekeland type variational principle for vector-valued bifunctions without assuming triangular inequality for bifunctions. Then, by using such variational principle, we derive some existence results for solutions of vector equilibrium problems and vector quasi-equilibrium problems.

AB - We first derive an Ekeland type variational principle for vector-valued bifunctions without assuming triangular inequality for bifunctions. Then, by using such variational principle, we derive some existence results for solutions of vector equilibrium problems and vector quasi-equilibrium problems.

KW - Ekeland variational principle

KW - existence results

KW - metric spaces

KW - vector equilibrium problems

UR - https://www.scopus.com/pages/publications/85063009260

U2 - 10.1080/02331934.2019.1589469

DO - 10.1080/02331934.2019.1589469

M3 - Article

AN - SCOPUS:85063009260

SN - 0233-1934

VL - 69

SP - 415

EP - 436

JO - Optimization

JF - Optimization

IS - 3

ER -

Vectorial form of Ekeland variational principle with applications to vector equilibrium problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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