Some Deterministic and Random Vector Equilibrium Problems
โ Scribed by El Mostafa Kalmoun
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, some generalized concepts about semicontinuity and convexity for vector-valued bifunctions are introduced. A new existence theorem for vector equilibrium problems is proved. Further, a random version of this result is considered. Applications to cone saddle points, random vector optimization, random vector variational inequalities, and random vector best approximation problems are finally given.
๐ SIMILAR VOLUMES
In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and gener
The equilibrium measure in the presence of an external field plays a role in a number of areas in analysis, for example, in random matrix theory: The limiting mean density of eigenvalues is precisely the density of the equilibrium measure. Typical behavior for the equilibrium measure is: 1. it is p