On the additivity of the minkowski functionals

M. A. Khamsi; Piotr J. Wojciechowski

doi:10.1080/01630563.2013.770751

On the additivity of the minkowski functionals

M. A. Khamsi, Piotr J. Wojciechowski

Mathematics

University of Texas at El Paso

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	British English
Pages (from-to)	635-647
Number of pages	13
Journal	Numerical Functional Analysis and Optimization
Volume	34
Issue number	6
DOIs	https://doi.org/10.1080/01630563.2013.770751
State	Published - 1 May 2013

Keywords

Caristi fixed point theorem
Cone metric spaces
Fixed point
Minkowski functional

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10.1080/01630563.2013.770751

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title = "On the additivity of the minkowski functionals",

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AB - 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.

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KW - Cone metric spaces

KW - Fixed point

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On the additivity of the minkowski functionals

Abstract

Keywords

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