Izvorni znanstveni članak
https://doi.org/10.21857/mwo1vc3ewy
New classes of higher order variational-like inequalities
Muhammad Aslam Noor
; Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Khalida Inayat Noor
; Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Sažetak
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.
Ključne riječi
Convex functions; preinvex functions; monotone operators; variational-like inequalities; iterative methods; convergence
Hrčak ID:
307493
URI
Datum izdavanja:
25.8.2023.
Posjeta: 171 *