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The aim of this paper is to define the concept of weakly comparable multi-valued mappings. Also we obtain some common fixed point theorems for pairs of weakly comparable multi-valued mappings in ordered non-Archimedean fuzzy metric space.

The aim of this paper to establish unique common fixed point theorems for compatible mappings in complete metric spaces and also illustrate the main theorem through a example.

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In this article, some common fixed point theorems for two pairs of compatible mappings together with sub-sequential continuity (alternately sub-compatible mappings together with reciprocal continuity) are proved in the setting of cone metric spaces. Our results are new in this setting especially in view of the note given in Imdad et al. [15]. On the other hand some fixed point results for faintly compatible mappings are also established. Illustrative examples along with their pictorial representation are furnished to highlight the validity of the hypothesis of our results