Penalty function method for a variational inequality on Hadamard manifolds

Babli Kumari*, Izhar Ahmad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)527-538
Number of pages12
JournalOPSEARCH
Volume60
Issue number1
DOIs
StatePublished - Mar 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Operational Research Society of India.

Keywords

  • Coercive condition
  • Hadamard manifold
  • Monotone
  • Penalty function
  • Variational inequality

ASJC Scopus subject areas

  • Management Information Systems
  • Information Systems
  • Computer Science Applications
  • Management Science and Operations Research

Fingerprint

Dive into the research topics of 'Penalty function method for a variational inequality on Hadamard manifolds'. Together they form a unique fingerprint.

Cite this