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Abstract and Applied Analysis
Volume 2013, Article ID 134751, 8 pages
Research Article

Cone Monotonicity: Structure Theorem, Properties, and Comparisons to Other Notions of Monotonicity

Department of Mathematics, Washington State University, Pullman, WA 99164-3113, USA

Received 10 March 2013; Accepted 3 June 2013

Academic Editor: Pekka Koskela

Copyright © 2013 Heather A. Van Dyke et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In search of a meaningful 2-dimensional analog to monotonicity, we introduce two new definitions and give examples of and discuss the relationship between these definitions and others that we found in the literature.