Abstract
The concept of ordered quasi-equilibrium problems in the setting of partial ordered sets is introduced and the existence results for their solutions are obtained. It is pointed out that several problems, namely, ordered equilibrium problems, vector quasi-equilibrium problems, vector equilibrium problems, ordered quasi-optimization problems, ordered optimization problems, vector quasi-optimization problems, ordered generalized Nash equilibrium problem with incomplete utilities, etc., are special cases of ordered quasi-equilibrium problems. As consequences, the existence results for solutions of ordered quasi-optimization problems and ordered generalized Nash equilibrium problem with incomplete utilities axe derived. The results of this paper, either generalize the known results in the literature or completely new.
| Original language | English |
|---|---|
| Pages (from-to) | 55-72 |
| Number of pages | 18 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 27 |
| Issue number | 1 |
| State | Published - 2026 |
Bibliographical note
Publisher Copyright:© 2026 Yokohama Publications. All rights reserved.
Keywords
- Ordered quasi-equilibrium problems
- existence results
- generalized Nash equilibrium problem with incomplete utilities
- ordered quasi-optimization problems
- partial ordered spaces
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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