Abstract
The purpose of this paper is to establish a fixed point theorem for F-contraction mappings in partial metric spaces. Also, as a consequence, a fixed point theorem for a pair of F-contraction mappings having a unique common fixed point is obtained. In particular, the main results in this paper generalize and extend a fixed point theorem due to Wardowski 2012 in which F-contraction was introduced as a generalization of Banach Contraction Principle. An illustrative example is provided to validate the results.
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(Submitted by E. K. Lipachev)
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Luambano, S., Kumar, S. & Kakiko, G. Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces. Lobachevskii J Math 40, 183–188 (2019). https://doi.org/10.1134/S1995080219020094
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DOI: https://doi.org/10.1134/S1995080219020094