Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology

Jing-Hui Qiu, Antoine Soubeyran and Fei He
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Jing-Hui Qiu: Soochow University
Fei He: Inner Mongolia Normal University [Hohhot]

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Abstract: 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.

Keywords: equilibrium version of Ekeland variational principle; set-valued perturbation; quasi-metric space; pre-order principle; Gerstewitz function (search for similar items in EconPapers)
Date: 2022
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Published in Optimization, inPress, pp.1-33. ⟨10.1080/02331934.2022.2123240⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03784742

DOI: 10.1080/02331934.2022.2123240

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