This paper introduces a dynamic simultaneous iterative scheme for solving split equality
monotone variational inclusion problems in real Hilbert spaces, where the associated operators are assumed
to be firmly quasi-non expan-sive. Under appropriate conditions on the parameters, we prove that
the generated sequence converges weakly to a solution of the problem. In addition, several applications
are discussed, and numerical experiments are carried out to demonstrate the practical performance of the
proposed method. The results indicate that the algorithm shows faster convergence compared to some
existing approaches. Overall, the method and its analysis provide new insights and extend a number of
earlier contributions in this area.
In this paper, we study a variational inclusion problem in a real ordered Hilbert space via an averaged-operator-based approach. The proposed framework combines Yosida and Cayley approximation operators with the logical XOR and XNOR operations, resulting in a unified iterative procedure for obtaining solutions. Using t...
Arifuzzaman, S. Irfan, Ahmad A. Almutlg et al.· Axioms· 0 citations
This paper introduces and analyzes an inertial projection iterative scheme for solving combined generalized general variational-like inequality problem (CGGVLIP), the zero problem associated with a γ-inverse strongly monotone mapping, and the common fixed-point problem of a finite family of relatively nonexpansive mapp...
Ghada AlNemer, Mohammad Farid, Rehan Ali· Symmetry· 0 citations
Motivated and inspired by a novel article of Tan and Li (2022) on projection and contraction
method for solving variational inequalities, we introduce and study an improved and generalized
version of their work. To be precise, we provide an iterative algorithm for solving variational
inequalities with quasi-monotone an...
Francis O. Nwawuru· INTERNATIONAL JOURNAL OF APP...· 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
