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.
|Number of pages||11|
|Journal||Rendiconti del Circolo Matematico di Palermo|
|State||Published - Feb 2023|
Bibliographical notePublisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.
- Approximate geodesic star-shaped function
- Riemannian manifolds
- Vector optimization problem
- Vector variational inequality
- Weak quasi efficiency
ASJC Scopus subject areas
- Mathematics (all)