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

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

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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 languageBritish English
Article number29
JournalJournal of Fixed Point Theory and Applications
Issue number1
StatePublished - Feb 2023


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


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