Stability of Generalized Convexity and Monotonicity

P. T. An

A chapter in Mathematical Modeling, Simulation, Visualization and e-Learning, 2008, pp 193-200 from Springer

Abstract: Abstract It was shown that well-known kinds of generalized convex functions (generalized monotone maps, respectively) are often not stable with respect to the property they have to keep during the generalization. Then the so-called s-quasiconvex functions, s-quasimonotone maps and strictly s-quasiconvex functions were introduced in Optimization, vol.38, vol.55 and Journal of Inequalities in Pure and Applied Mathematics, vol.127, respectively. In this paper, some stability properties of such functions and a use of s-quasimonotonicity in an economics model are presented. Furthermore, an algorithm for finding the stability index for strict s-quasiconvexity of a given continuously twice differentiable function on ℝ is presented.

Date: 2008
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74339-2_12

Ordering information: This item can be ordered from
http://www.springer.com/9783540743392

DOI: 10.1007/978-3-540-74339-2_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().