Penalty function method for a variational inequality on Hadamard manifolds

Babli Kumari () and Izhar Ahmad ()
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Babli Kumari: Bhagalpur College of Engineering
Izhar Ahmad: King Fahd University of Petroleum and Minerals

OPSEARCH, 2023, vol. 60, issue 1, No 20, 527-538

Abstract: Abstract The present paper deals with penalty function method for $$\mathcal{K}$$ 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.

Keywords: Variational inequality; Penalty function; Coercive condition; Monotone; Hadamard manifold; 53C22; 58E35; 90C30 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12597-022-00620-1

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