Common fixed point theorems for Ciric Reich Rus type contractions in F-metric spaces

Canan Acar, Vildan Ozturk

Abstract


In this work, we defined Ciric Reich Rus type contraction for four mappings and  proved a common  fixed point theorem for mappings satisfying this type contraction in F-metric spaces. Also we gived some results. To illustrate the practicality of our theoretical findings, we included an application, thus providing a useful bridge between abstract theory and practical application

Keywords


F-metric, common fixed point, weakly compatible mapping

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References


* C. Acar and V. Ozturk. Fixed point theorems for almost alpha-admissible mappings in f-metric spaces. Fundamental Journal of Mathematics and Applications, 7(4), 2024.

* A. Bera, H. Garai, B. Damjanovic, and A. Chanda. Some interesting results on f-metric spaces. Filomat, 33(10):3257-3268, 2019.

* H. Faraji, N. Mirkov, Z. Mitrović, R. Ramaswamy, O. Abdelnaby, and S. Radenović. Some new results for (alpha, beta)-admissible mappings in f-metric spaces with applications to integral equations. Symmetry, 14(11):Paper No. 2429, 2022.

* A. Hussain and T. Kanwal. Existence and uniqueness for a neutral differential problem with unbounded delay via fixed point results. Trans. A. Razmadze Math. Institute, 172(3):481-490, 2018.

* M. Jleli and B. Samet. On a new generalization of metric spaces. J. Fixed Point Theory Appl., 20:Paper No. 128., 2018.

* G. Jungck. Common fixed points for noncontinuous nonself mappings on nonnumeric spaces. Far East J. Math. Sci., 4(2):199-212., 1996.

* D. Lateefa and J. Ahmad. Dass and gupta's fixed point theorem in f-metric spaces. J. Nonlinear Sci. Appl., 12:405-411, 2019.

* S. Mezel, J. Ahmad, and G. Marino. Fixed point theorems for generalized (alpha-beta-psi)-contractions in f-metric spaces with applications. Mathematics, 8(4): 584., 2020.

* Z. Mitrovic, H. Aydi, N. Hussain, and A. Mukheimer. Reich, jungck, and berinde common fixed point results on f-metric spaces and an application. Mathematics, 7:387., 2019.

* V. Ozturk. Some results for Ćirić prešić type contractions in f-metric spaces. Symmetry, 15(8):1521., 2023.

* D. Wardowski. Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl., 94, 2012.




DOI: http://dx.doi.org/10.23755/rm.v56i0.1736

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.