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.
Highlights
There have appeared many unique common fixed point theorems of mappings with some contractive condition on 2-metric spaces
Most of them held under subsidiary conditions [1,2,3], for examples: commutativity of mappings or uniform boundness of mappings at some point, and so on
The following theorem is the main result in this present paper
Summary
Some new unique common fixed points for four mappings satisfying Ф-contractive conditions on noncomplete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. There have appeared many unique common fixed point theorems of mappings with some contractive condition on 2-metric spaces.
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