Common fixed point theorems in cone metric spaces under general contractive conditions
Authors: Chauhan O.P., Singh N., Singh D., Mishra L.N.
Keywords: cone metric spaces; sub-compatible maps; sub-sequential continuity; reciprocal continuity
Abstract:
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.
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