New Unique Common Fixed Point Results for Four Mappings with Ф-Contractive Type in 2-Metric Spaces

Yongjie Piao, Yuanfeng Jin

Department of mathematics, College of Science, Yanbian University, Yanji, China.

DOI: 10.4236/am.2012.37108                

Abstract

In this paper, some new unique common fixed points for four mappings satisfying Ф-contractive conditions on non-complete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions in the literatures.

Keywords

2-Metric Space; Class Ф; Cauchy Sequence; Coincidence Point; Unique Common Fixed Point

Conflicts of Interest

The authors declare no conflicts of interest.

References

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