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

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