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- Title
Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone.
- Authors
Hung, Nguyen Van; Novo, Vicente; Tam, Vo Minh
- Abstract
The aim of this paper is to establish new results on the error bounds for a class of vector equilibrium problems with partial order provided by a polyhedral cone generated by some matrix. We first propose some regularized gap functions of this problem using the concept of G A -convexity of a vector-valued function. Then, we derive error bounds for vector equilibrium problems with partial order given by a polyhedral cone in terms of regularized gap functions under some suitable conditions. Finally, a real-world application to a vector network equilibrium problem is given to illustrate the derived theoretical results.
- Subjects
VECTOR analysis; CONES; EQUILIBRIUM
- Publication
Journal of Global Optimization, 2022, Vol 82, Issue 1, p139
- ISSN
0925-5001
- Publication type
Article
- DOI
10.1007/s10898-021-01056-5