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I. S. Kim, “Common Fixed Point Theorems in 2-Metric Spaces,” Master’s Thesis, Korea Soongsil University, Seoul, 1994.

has been cited by the following article:

• TITLE: Uniqueness of Common Fixed Points for a Family of Mappings with Φ-Contractive Condition in 2-Metric Spaces

  AUTHORS: Yong-Jie Piao

  KEYWORDS: 2-Metric Space; 5-Dimensional Functions Φ ;Φ-Contractive Condition; Cauchy Sequence; Common Fixed Point

  JOURNAL NAME: Applied Mathematics, Vol.3 No.1, January 4, 2012

  ABSTRACT: 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.