Penalty function method for a variational inequality on Hadamard manifolds

被引:3
|
作者
Kumari, Babli [1 ]
Ahmad, Izhar [2 ,3 ]
机构
[1] Bhagalpur Coll Engn, Dept Math, Bhagalpur 813210, Bihar, India
[2] King Fahd Univ Petr & Minerals, Dept Math, Dhahran 31261, Saudi Arabia
[3] King Fahd Univ Petr & Minerals, Ctr Intelligent Secure Syst, Dhahran 31261, Saudi Arabia
关键词
Variational inequality; Penalty function; Coercive condition; Monotone; Hadamard manifold; PROXIMAL POINT ALGORITHM; VECTOR-FIELDS;
D O I
10.1007/s12597-022-00620-1
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
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 prob-lem. 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.
引用
收藏
页码:527 / 538
页数:12
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