Fixed point theorem for F-contraction mappings, in partial metric spaces

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Russian Academy of Sciences and Kazan Federal University

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Abstract. Available at: https://doi.org/10.1134/S1995080219020094
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.

Keywords

F-contraction, F-contraction mappings, Partial metric spaces, Fixed point theorem, Wardowski 2012, Metric spaces, Mappings, Theorem, Banach contraction, Contraction principle

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