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

  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,...

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Bibliographic Details
Main Authors: Salwa Salman Abed, Meena Fouad Abduljabbar
Format: article
Language:AR
EN
Published: College of Science for Women, University of Baghdad 2021
Subjects:
Q
Online Access:https://doaj.org/article/266e5eddb1c14d6a921f870f4865eb31
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Summary:  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