Equilibrium problems on quasi-weighted graphs

Monther R. Alfuraidan

doi:10.1007/s40065-023-00420-5

Equilibrium problems on quasi-weighted graphs

Monther R. Alfuraidan^*

^*Corresponding author for this work

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

Abstract

We give a new minimization theorem for equilibrium problems on a quasi-weighted graph. This result generalizes the graphical version of the Ekeland’s variational principle for equilibrium problems on weighted graphs (Alfuraidan and Khamsi in Proc Am Math Soc 9:33–40, 2022).

Original language	English
Journal	Arabian Journal of Mathematics
DOIs	https://doi.org/10.1007/s40065-023-00420-5
State	Accepted/In press - 2023

Bibliographical note

Funding Information:
The author would like to acknowledge the support provided by the deanship of research oversight & coordination at King Fahd University of Petroleum & Minerals. Also, I would like to thank the referee for suggesting Remark 1 after Definition 3.

Publisher Copyright:
© 2023, The Author(s).

ASJC Scopus subject areas

Mathematics (all)

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10.1007/s40065-023-00420-5

Cite this

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title = "Equilibrium problems on quasi-weighted graphs",

abstract = "We give a new minimization theorem for equilibrium problems on a quasi-weighted graph. This result generalizes the graphical version of the Ekeland{\textquoteright}s variational principle for equilibrium problems on weighted graphs (Alfuraidan and Khamsi in Proc Am Math Soc 9:33–40, 2022).",

author = "Alfuraidan, {Monther R.}",

note = "Funding Information: The author would like to acknowledge the support provided by the deanship of research oversight & coordination at King Fahd University of Petroleum & Minerals. Also, I would like to thank the referee for suggesting Remark 1 after Definition 3. Publisher Copyright: {\textcopyright} 2023, The Author(s).",

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N1 - Funding Information: The author would like to acknowledge the support provided by the deanship of research oversight & coordination at King Fahd University of Petroleum & Minerals. Also, I would like to thank the referee for suggesting Remark 1 after Definition 3. Publisher Copyright: © 2023, The Author(s).

PY - 2023

Y1 - 2023

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AB - We give a new minimization theorem for equilibrium problems on a quasi-weighted graph. This result generalizes the graphical version of the Ekeland’s variational principle for equilibrium problems on weighted graphs (Alfuraidan and Khamsi in Proc Am Math Soc 9:33–40, 2022).

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DO - 10.1007/s40065-023-00420-5

M3 - Article

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SN - 2193-5343

JO - Arabian Journal of Mathematics

JF - Arabian Journal of Mathematics

ER -

Equilibrium problems on quasi-weighted graphs

Abstract

Bibliographical note

ASJC Scopus subject areas

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