Introduction to Convex and Quasiconvex Analysis
2001-08-27
Research Paper
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In this paper which will appear as a chapter in the Handbook of Generalized Convexity we discuss the basic ideas of convex and quasiconvex analysis in finite dimensional Euclidean spaces. To illustrate the usefulness of this branch of mathematics also applications to optimization theory and noncooperative game theory are considered.
Keywords
Classifications using
Journal of Economic Literature (JEL) Classification System
- C69 : Mathematical Methods and Programming: Other
- M : Business Administration and Business Economics; Marketing; Accounting
- R4 : Transportation Systems
- M11 : Production Management
Automatically Extracted Terms
- function
- function f
- lemma
- result
- relation
- quasiconvex
- nonempty
- theorem
- definition
- proof
- l.s.c
- vector
- affine
- representation
- quasiconvex functions
- problem
- analysis
- vectors x 1
- optimization
- quasiconvex analysis
