TY - JOUR
T1 - Ekeland variational principle on quasi-weighted graphs
T2 - improving the work–family balance
AU - Alfuraidan, M. R.
AU - Khamsi, M. A.
AU - Soubeyran, A.
N1 - 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.
PY - 2023/2
Y1 - 2023/2
N2 - 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).
AB - 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).
KW - Brønsted partial order
KW - ekeland variational principle
KW - lewin’s topological psychology
KW - quasi-weighted graph
KW - trap
KW - work–family balance
KW - worthwhile move
UR - https://www.scopus.com/pages/publications/85144261747
U2 - 10.1007/s11784-022-01031-x
DO - 10.1007/s11784-022-01031-x
M3 - Article
AN - SCOPUS:85144261747
SN - 1661-7738
VL - 25
JO - Journal of Fixed Point Theory and Applications
JF - Journal of Fixed Point Theory and Applications
IS - 1
M1 - 29
ER -