Izvorni znanstveni članak
https://doi.org/10.21857/yrvgqt31w9
Auxiliary principle technique for solving trifunction harmonic variational inequalities
Muhammad Aslam Noor
; Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Khalida Inayat Noor
; Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
Sažetak
In this paper, we introduce and investigate some new classes of trifunction harmonic variational inequalities. Several important new problems are obtained as special cases. Some new harmonic Bregman distance functions are derived for the Shannon entropy and Burg entropy harmonic convex functions. The auxiliary principle technique involving the harmonic Bregman distance function is applied to suggest and analyze some hybrid inertial iterative methods for solving the trifunction harmonic variational inequality. The convergence analysis of these iterative methods is also considered under some mild conditions. Some special cases are also pointed out. Results proved in this paper can be viewed as a refinement and improvement of the known results.
Ključne riječi
Harmonic variational inequalities; harmonic convex functions; auxiliary principle; proximal methods; convergence
Hrčak ID:
326526
URI
Datum izdavanja:
9.1.2025.
Posjeta: 0 *