Fixed-Point Theorems Using α -Series in F -Metric Spaces

Vildan Ozturk () and Duran Turkoglu
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Vildan Ozturk: Department of Mathematics, Faculty of Polatli Science and Arts, University of Ankara Haci Bayram Veli, 06500 Ankara, Turkey
Duran Turkoglu: Department of Mathematics, Faculty of Science, University of Gazi, 06010 Ankara, Turkey

Mathematics, 2024, vol. 12, issue 16, 1-16

Abstract: Fixed-point theory, which has been developing since 1922, is widely used. Various contraction principles have been defined in the literature. In this work, we define rational-type contraction and weak Choudhury type contraction using α -series in F -metric spaces and prove common fixed-point theorems for sequences of self-mappings. This method is based on the convergence series of coefficients. Our results are the generalized version of the results in the literature. Finally, we apply our main results to solve an integral equation and a differential equation.

Keywords: ?-series; fixed point; contraction; F -metric (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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