التفاصيل البيبلوغرافية
| العنوان: |
Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology. |
| المؤلفون: |
Qiu, Jing-Hui1 (AUTHOR) qjhsd@sina.com, Soubeyran, Antoine2 (AUTHOR), He, Fei3 (AUTHOR) |
| المصدر: |
Optimization. Mar2024, Vol. 73 Issue 3, p673-705. 33p. |
| مصطلحات موضوعية: |
*VARIATIONAL principles, *QUASI-metric spaces, *EQUILIBRIUM, *VECTOR spaces, *PSYCHOLOGY |
| مستخلص: |
We first give a pre-order principle whose form is very general. Combining the pre-order principle and generalized Gerstewitz functions, we establish a general equilibrium version of set-valued Ekeland variational principle (denoted by EVP), where the objective function is a set-valued bimap defined on the product of quasi-metric spaces and taking values in a quasi-ordered linear space, and the perturbation consists of a subset of the ordering cone multiplied by the quasi-metric. From this, we obtain a number of new results which essentially improve the related results. Particularly, the earlier lower boundedness condition has been weakened. Finally, we apply the new EVPs to Psychology. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
Academic Search Index |