Higher Order Variational Inequalities

Authors

Muhammad Aslam Noor, Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanFollow
Khalida Inayat Noor, Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanFollow
Hilal M. Y. Al-Bayatti, Department of Computer Science, College of Arts and Science, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of BahrainFollow

Abstract

In this paper, we prove that the optimality conditions of the higher order strongly convex functions are characterized by a class of variational inequalities, which is called the higher order strongly variational inequality. Auxiliary principle technique is used to suggest an implicit method for solving higher order strongly 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.

Recommended Citation

Aslam Noor, Muhammad; Inayat Noor, Khalida; and M. Y. Al-Bayatti, Hilal (2022) "Higher Order Variational Inequalities," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/5