Variational principles with generalized distances and the modelization of organizational change. (1st December 2016)

• Record Type: Journal Article
• Authors: Bao, Truong Q.; Khanh, Phan Q.; Soubeyran, Antoine
• Is Part Of: Optimization. Volume 65:Number 12(2016)
• Page Start: 2049
• Page End: 2066
• Publication Date: 2016-12-01
• Subjects: Ekeland's variational principle -- Caristi's fixed-point theorem -- quasimetric -- w-distance -- -distance -- variational rationality; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2016.1228062
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : This paper has a twofold focus. The mathematical aspect of the paper shows that new and existing quasimetric and weak -distance versions of Ekeland's variational principle are equivalent in the sense that one implies the other, and so are their corresponding fixed-point results. The practical aspect of the paper, using a recent variational rationality approach of human behaviour, offers a model of organizational change, where generalized distances model inertia in terms of resistance to change. The formation and breaking of routines relative to hiring and firing workers will be used to illustrate the obtained results.