Viscosity Approximation Method with Inertia for Attractive Points of Finite Families of Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces

Mamuda Buhari; Sani  Abubakar; Sanim Abdullahi Hamza; Garba  Isa

doi:10.5281/zenodo.20385237

Mamuda Buhari Department of Mathematics, Sokoto State University, Sokoto, Nigeria.
Sani Abubakar Department of Mathematics, Abdullahi Fodio University of Science and Technology, Aliero, Nigeria.
Sanim Abdullahi Hamza Department of Mathematics, Abdullahi Fodio University of Science and Technology, Aliero, Nigeria.
Garba Isa

DOI: https://doi.org/10.5281/zenodo.20385237

Keywords: Attractive Point, Generalized nonexpansive mapping, Inertia, Uniformly convex Banach space, Viscosity approximation method

Abstract

In this research paper, an attractive point problem involving generalized non-expansive mapping is studied, using viscosity approximation method with inertia parameters. We established strong convergence theorem for an attractive point of finite families of generalized non-expansive mapping in a uniform convex Banach space, which is also a solution of some variational inequality problems in a Banach space. Finally, we give a numerical experiment to validate the performance of our algorithm. Our results improve and extend some recent results in the literature review.

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