On the Additivity of the Minkowski Functionals

Authors

Mohamed A. Khamsi, University of Texas at El PasoFollow
Piotr J. Wojciechowski, University of Texas at El PasoFollow

Publication Date

2013

Document Type

Article

Comments

M. A. Khamsi & Piotr J. Wojciechowski (2013) On the Additivity of the Minkowski Functionals, Numerical Functional Analysis and Optimization, 34:6, 635-647, DOI: 10.1080/01630563.2013.770751

Abstract

In this work, we investigate the additivity of the Minkowski functionals associated to a cone in a linear vector space. As an application we discuss the equivalence of the classical Caristi fixed point theorem in metric spaces and its vectorial version in cone metric spaces.