Viscosity-inertial approximation method for attractive points of widely more generalized hybrid mappings
Fixed Point Methods and Optimization, Volume 3, Issue 1, April 2026, Pages 50–59
BUHARI MAMUDA
Department of Mathematics, Sokoto State University, Sokoto, Kebbi PMB 2134, Nigeria
SAIDU ISAH ABUBAKAR
Department of Mathematics, Sokoto State University, Sokoto, Kebbi PMB 2134, Nigeria
SADIQ SHEHU
Department of Mathematics, Sokoto State University, Sokoto, Kebbi PMB 2134, Nigeria
Abstract
This research presents a viscosity-inertial iterative scheme for approximating attractive point of finite family widely more generalized hybrid mapping in Hilbert space. The proposed method integrates terms into the viscosity framework to accelerate convergence while maintaining strong convergence guarantee. The scheme is established under less restrictive assumptions. A strong convergence theorem is proved under appropriate control conditions on the parameter sequences.
Cite this Article as
Buhari Mamuda, Saidu Isah Abubakar, and Sadiq Shehu, Viscosity-inertial approximation method for attractive points of widely more generalized hybrid mappings, Fixed Point Methods and Optimization, 3(1), 50–59, 2026