TITLE:
Four Mappings Satisfying Ψ-Contractive Type Condition and Having Unique Common Fixed Point on 2-Metric Spaces
AUTHORS:
Hailan Jin, Yongjie Piao
KEYWORDS:
2-Metric Space; Class Ψ; Cauchy Sequence; Coincidence Point; Common Fixed Point
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.2,
March
14,
2013
ABSTRACT:
In this paper, we introduce a class Ψ of real functions defined on the set of non-negative real numbers, and obtain a new unique common fixed point theorem for four mappings satisfying Ψ-contractive condition on a non-complete 2-metric space and give the versions of the corresponding result for two and three mappings.