Abstract
In this paper, we study the relationships between the vector variational inequalities and a vector optimization problem for quasi-efficient solutions under a new class of approximate geodesic star-shaped function on a Riemannian manifold. The connection between the vector critical point and a local weak quasi-efficient solution to a vector optimization problem under approximate geodesic pseudo convexity is also obtained. Moreover, examples are constructed to illustrate the results.
| Original language | English |
|---|---|
| Pages (from-to) | 157-167 |
| Number of pages | 11 |
| Journal | Rendiconti del Circolo Matematico di Palermo |
| Volume | 72 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2023 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.
Keywords
- Approximate geodesic star-shaped function
- Riemannian manifolds
- Vector optimization problem
- Vector variational inequality
- Weak quasi efficiency
ASJC Scopus subject areas
- General Mathematics
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