This study aims to propose a self-adaptive viscosity-type algorithm with inertial effects to find the common solutions of the split mixed equilibrium, split variational inclusion and common fixed point problems associated with nonexpansive mappings. It is worth mentioning that the step size employed in this algorithm is independent of the operator norm. Strong convergence of the sequence defined by the proposed algorithm is established. As a consequence, the proposed method can be employed to approximate solutions of the split minimization, split common null point and split feasibility problems. The efficiency of the proposed algorithm is validated by a numerical example and its performance is illustrated by graphical comparisons relative to various established methods presented in recent literature.
In this paper, we combine double inertial extrapolation with viscosity techniques to propose a novel iterative algorithm that finds a common solution to a generalized mixed equilibrium problem, a split variational inclusion problem, and a common fixed point constraint involving two nonexpansive operators in real Hilber...
A. Bnouhachem· Journal of Advances in Optim...· 0 citations
In this work, we prove the strong convergence of an inertial iterative scheme to approximate solutions of the equilibrium fixed point problem associated with nonexpansive mappings in Hilbert spaces. Numerical simulations are carried out to examine the performance of the proposed approach. The results indicate that the...
Mujahid Abbas, Muhammad Waseem Asghar· AppliedMath· 0 citations
In this work, we introduce a novel modified inertial iterative algorithm for solving bilevel
equilibrium problems involving pseudomonotone bifunctions in real Hilbert spaces. Theproposed scheme
incorporates a self-adaptive step-size strategy, eliminating the need for prior knowledge of Lipschitz type
constants and enha...
Loms Matto Ayuba, E. Mbah, F. U. Ogbuisi et al.· Optimization Eruditorum· 0 citations
In this paper, we propose a viscosity-type double inertial algorithm with self-adaptive stepsizes for solving non-monotone variational inequality problems involving uniformly continuous operators in real Hilbert spaces. The proposed method combines viscosity approximation and double inertial extrapolation techniques wi...
O. Onifade, A. E. Ofem, S. A. Kajola et al.· Annali dell?Università di Fe...· 0 citations
In this paper, we introduce an adaptive inertial extragradient method for approximating a common solution of a pseudomonotone equilibrium problem and a fixed-point problem associated with a mapping satisfying condition \((C_\mu)\) in a uniformly convex hyperbolic space. The proposed method integrates inertial extrapola...
P. Sukprasert· RBRU International Journal o...· 0 citations
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.
