Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces

Authors

Salwa Salman Abed, Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham, University of Baghdad, Iraq.Follow
Meena Fouad Abduljabbar, Department of Mathematics, College of Education for Pure Science, Ibn Al-Haitham, University of Baghdad, IraqFollow

Abstract

In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved

Keywords

Fixed Points; Iterative Sequences; Multivalued Mappings; Real Modular Spaces; Uniformly Convex. MSC: 49J40; 47J20

Article Type

Article

How to Cite this Article

Abed, Salwa Salman and Abduljabbar, Meena Fouad (2021) "Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces," Baghdad Science Journal: Vol. 18: Iss. 4, Article 5.
DOI: https://doi.org/10.21123/bsj.2021.18.4.1218