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Variational principles with generalized distances and applications to behavioral sciences

T. Q. Bao(btruong***at***nmu.edu)
P.Q. Khanh(pqkhanh***at***hcmiu.edu.vn)
A. Soubeyran(antoine.soubeyran***at***gmail.com)

Abstract: This paper has a two-fold focus on proving that the quasimetric and the weak $\tau$-distance versions of the Ekeland variational principle are equivalent in the sense that one implies the other and on presenting the need of such extensions for possible applications in the formation and break of workers hiring and firing routines.

Keywords: Ekeland's variational principle, Caristi's fixed point theorem, quasimetric, $w$-distance, $\tau$-distance, variational rationality.

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Global Optimization

Category 3: Applications -- OR and Management Sciences (Other )

Citation:

Download: [PDF]

Entry Submitted: 12/23/2014
Entry Accepted: 12/23/2014
Entry Last Modified: 12/23/2014

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