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

[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.

[学科分类] 几何与拓扑

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