Geodesic
Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces
Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 223-236

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The notions of compatible mappings play a crucial role in metrical fixed point theory. Partial metric spaces are a generalization of the notion of a metric space in the sense that distance of a point from itself is not necessarily zero. In this paper, we prove coincidence and fixed point theorems for a pair of single-valued and multi-valued weak compatible mappings on a complete partial metric space. Our main results generalize, in particular, the results of Kaneko and Sessa (1989), Pathak (1995) and Kessy, Kumar and Kakiko (2017). Examples that illustrate the generality of our results are also provided.
DOI : 10.21136/MB.2022.0197-20
Classification : 47H10, 54H25
Keywords: partial metric space; weak compatible mapping; hybrid pair of mapping 
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Kumar, Santosh; Kessy, Johnson Allen. Fixed point theorems for hybrid pair of weak compatible mappings in partial metric spaces. Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 223-236. doi: 10.21136/MB.2022.0197-20

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