Approximation of common fixed points in 2-Banach spaces with applications

Applied General Topology

M. Pitchaimani¹  D. Ramesh Kumar² 

[1] University of Madras;Vellore Institute of Technology

关键词: common fixed point;    Mann iteration;    Picard iteration;    well-posedness;    2-Banach space;   

DOI  :  10.4995/agt.2019.9168

学科分类：几何与拓扑

来源: Open Journal Systems

【 摘 要 】

The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.

【 授权许可】

CC BY-NC-ND