Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order. (2nd April 2019)

• Record Type: Journal Article
• Authors: Chen, Yi-An; Wen, Dao-Jun
• Other Names: Acar Tuncer Guest Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-04-02
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/2789819
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalizedα -nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalizedα -nonexpansive mapping in a uniformly convex Banach space with a partial order. Further, we provide a numerical example to illustrate the convergence behavior and effectiveness of the proposed iteration process.