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- Title
NEW CLASSES OF HIGHER ORDER VARIATIONAL-LIKE INEQUALITIES.
- Authors
NOOR, MUHAMMAD ASLAM; NOOR, KHALIDA INAYAT
- Abstract
In this paper, we prove that the optimality conditions of the higher order convex functions are characterized by a class of variational inequalities, which is called the higher order variational inequality. Auxiliary principle technique is used to suggest an implicit method for solving higher order variational inequalities. Convergence analysis of the proposed method is investigated using the pseudo-monotonicity of the operator. Some special cases also discussed. Results obtained in this paper can be viewed as refinement and improvement of previously known results.
- Subjects
CONVEX functions; REAL variables; MATHEMATICS; POLYNOMIALS; ALGEBRA
- Publication
Rad HAZU: Matematicke Znanosti, 2023, Vol 27, p153
- ISSN
1845-4100
- Publication type
Article
- DOI
10.21857/mwo1vc3ewy