Uniqueness of Common Fixed Points for a Family of Mappings with <i>Φ</i>-Contractive Condition in 2-Metric Spaces

• 作者: Yong-Jie Piao
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: 2-Metric Space 5-Dimensional Functions Φ Φ-Contractive CONDITION Cauchy Sequence Common Fixed Point
• 年，卷（期）: 2012,（1）
• 页码范围: 73-77
• 页数: 5页
• 分类号: O1

摘要

In this paper, we will introduce a class of 5-dimensional functions Φ and prove that a family of self-mappings {Ti,j} iεN in 2-metric space have an unique common fixed point if 1) {Ti,j} iεN satisfies Φj-contractive condition, where ΦjεΦ, for each jεN;2) Tm,μ n,v for all m,n,μ,vεN with μ ≠ v . Our main result generalizes and unifies many known unique common fixed point theorems in 2-metric spaces.