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Issue: Vol. 12 No. 2 (2023): Natural Sciences Issue (Vietnamese)
Section: Natural Sciences Issue (Vietnamese)
Date Published: 14/03/2023
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K-coincidence point without commutative condition in partially ordered metric

Ngoc Cam Huynh1, , Duc Thinh Vo1
1 Faculty of Mathematics - Informatics Teacher Education, Dong Thap University, Vietnam

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Abstract

In this paper, we introduce the concept of a new I-monotone mapping and establish k-coincidence point results without any type of commutativity condition which improve the results of Paknazar et al. Also, we give a supporting example of non-commuting mappings where the results of Paknazar et al. cannot be applied.

Keywords

New g-monotone mapping, new I-monotone mapping, non-commuting mappings, k-fixed point, k-coincidence point

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References

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