A Review of the Some Fixed Point Theorems for Different Kinds of Maps

The focus of this article, reviewed a generalized  of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step sc...

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Bibliographic Details
Main Authors: Bayda Atiya Kalaf, Zena Hussein Maibed
Format: Article
Language:English
Published: University of Baghdad 2023-07-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/3006
Description
Summary:The focus of this article, reviewed a generalized  of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step schemes ,two-step schemes and three step schemes (Mann scheme algorithm, Ishukawa scheme algorithm, noor scheme algorithm, .scheme algorithm,  scheme algorithm Modified  scheme algorithm arahan scheme algorithm and others. The convergence of these schemes has been studied .On the other hands, We also reviewed the convergence, valence and stability theories of different types of near-plots in convex metric space.
ISSN:1609-4042
2521-3407