Ekeland variational principle on quasi-weighted graphs: improving the work–family balance

M. R. Alfuraidan, M. A. Khamsi*, A. Soubeyran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove a new minimization theorem in weighted graphs endowed with a quasi-metric distance, which improves the graphical version of the Ekeland variational principle discovered recently (Alfuraidan and Khamsi in Proc Am Math Soc 147:5313–5321, 2019). As a powerful application in behavioral sciences, we consider how to improve the quality of life in the context of the work–family balance problem, using the recent variational rationality approach of stay and change human dynamics (Soubeyran in Variational Rationality, a Theory of Individual Stability and Change: Worthwhile and Ambidextry Behaviors. Preprint. GREQAM, Aix Marseille University, 2009; Soubeyran in Variational Rationality. The Resolution of Goal Conflicts Via Stop and Go Approach-Avoidance Dynamics. Preprint. AMSE, Aix-Marseille University, 2021).

Original languageEnglish
Article number29
JournalJournal of Fixed Point Theory and Applications
Issue number1
StatePublished - Feb 2023

Bibliographical note

Funding Information:
M. R. Alfuraidan and M. A. Khamsi would like to acknowledge the support provided by the deanship of scientific research at King Fahd University of Petroleum and Minerals for funding this work through Project no. IN171032.

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.


  • Brønsted partial order
  • ekeland variational principle
  • lewin’s topological psychology
  • quasi-weighted graph
  • trap
  • work–family balance
  • worthwhile move

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics


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