The present paper deals with penalty function method for K-constrained variational inequality problem on Hadamard manifolds. It transforms the constrained problem into an unconstrained problem and named it a penalized variational inequality problem. We establish sufficient condition under the assumption of coercivity for solving both problems and illustrate by a non-trivial example. It is shown that the sequence of a solution to the penalized variational inequality problem has at least one limit point within the feasible region. Moreover, it is also observed that any limit point of the sequence of a solution to the penalized variational inequality problem also is a solution to the original problem.
|Number of pages||12|
|State||Published - Mar 2023|
Bibliographical notePublisher Copyright:
© 2023, The Author(s), under exclusive licence to Operational Research Society of India.
- Coercive condition
- Hadamard manifold
- Penalty function
- Variational inequality
ASJC Scopus subject areas
- Management Information Systems
- Information Systems
- Computer Science Applications
- Management Science and Operations Research