A proximal algorithm with quasi distance. Application to habit%26apos;s formation

作者：Moreno Felipe Garcia^*; Oliveira Paulo Roberto; Soubeyran Antoine

来源：Optimization, 2012, 61(12): 1383-1403.

DOI：10.1080/02331934.2011.564623

• variational analysis
• quasi distance
• Kurdyka-Lojasiewicz inequality
• proximal method
• costs to change
• inertia
• anchoring effect

We consider a proximal algorithm with quasi distance applied to nonconvex and nonsmooth functions involving analytic properties for a minimization problem. We show the behavioural importance of this proximal point model for the formation of habit in Decision and Making Sciences. The convergence of the sequence generated by our algorithm to a critical-limit point is guaranteed under standard conditions of coercivity and by using the Kurdyka-Lojasiewicz inequality. We present a definition of habit that contemplates that kind of convergence.

• 出版日期2012