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 mappings in two-uniformly convex and uniformly smooth Banach spaces. Strong convergence of the proposed algorithm to a common solution is established. The efficiency of the method is illustrated through numerical examples and validated via detailed figures. An application to image denoising is also presented to demonstrate its practical utility.
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
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 conv...
Mohd Asad, Mubashshir U. Khairoowala, S. Husain· Optimization Eruditorum· 0 citations
This study focuses on a three-step iterative scheme, referred to as the NIP iteration, for the approximation of fixed points associated with nonexpansive mappings in uniformly convex Banach spaces. Weak convergence is established using Fejér monotonicity, asymptotic regularity and the demiclosedness principle. Strong c...
F. Alamrani, Nidal H. E. Eljaneid, N. Altaweel et al.· Axioms· 0 citations
In this article, we introduce a novel iterative algorithm, called the KK iteration scheme, for approximating fixed points of generalized ‐nonexpansive mappings in Banach spaces. Weak and strong convergence theorems are established in uniformly convex Banach spaces (UCBSs) under suitable assumptions. The computational...
D. A. Abulhamil, Bashir Nawaz· Mathematical methods in the...· 0 citations
In this paper, we introduce a four-step iteration scheme for approximating fixed points of generalized (α, β)-nonexpansive type 1 mapping. We prove the convergence and stability results for contractive-like mapping in uniformly convex Banach space. We also prove weak and strong convergence results for generalized (α, β...
Omprakash Sahu, Amitabh Banerjee· Scholars Journal of Physics...· 0 citations
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