Some Results of Common Fixed Point for Compatible Mappings in Ƒ- Metric Spaces

Recently, Ƒ-metric space has been started, and a natural topology has been described in these spaces by Jleli and Samet. Furthermore, a new form of the Banach contraction principle has been given in the new spaces. In this work, we present some common fixed-point theorems for two weakly compatible mappings in the Ƒ-metric spaces. We also mention examples that confirm our results.

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[1] S. Czerwik, Contraction Mappings in b-Metric Spaces, Acta Mathematica et Informatica Universitatis Ostraviensis 1(1) (1993) 5–11.
[2] M. A. Khamsi, N. Hussain, KKM Mapping in Metric Type Spaces, Nonlinear Analysis 7(9) (2010) 3123– 3129.
[3] R. Fagin, R. Kumar, D. Sivakumar, Comparing Top k Lists, SIAM Journal on Discrete Mathematics 17(1) (2003) 134–160.
[4] W. Kirk, N. Shahzad, Fixed Point Theory in Distance Spaces, Springer: Cham, 2014.
[5] V. S. Gahler, 2-Metrische Raume und ihre Topologishe Strüktür, Mathematische Nachrichten 26 (1963/1964) 115–118.
[6] Z. Mustafa, B. Sims, A New Approach to Generalized Metric Spaces, Journal of Nonlinear and Convex Analysis 7(2) (2006) 289–297.
[7] S. G. Matthews, Partial Metric Topology. In: Proceedings of the 8th Summer Conference on General Topology and Applications. Annals of the New York Academy of Sciences 728 (1994) 183–197.
[8] M. Jleli, B. Samet, A Generalized Metric Space and Related Fixed-Point Theorems, Fixed Point Theory and Its Applications Article Number 61 (2015) 1–14.
[9] M. Jleli, B. Samet, On a New Generalization of Metric Spaces, Journal of Fixed-Point Theory and Applications Article Number 128 20 (2018) 1–20.
[10] A. L. Alnaser, D. Lateef, A. H. Fouad, J. Ahmad, Relation Theoretic Contraction Results in Ƒ-Metric Spaces, Journal of Nonlinear Sciences and Applications 12 (2019) 337–344.
[11] M. Abbas, G. Jungck, Common Fixed-Point Results for Non-Commuting Mappings without Continuity in Cone Metric Spaces, Journal of Mathematical Analysis and Applications 341 (2008) 416–420.

Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2014
Yayıncı: Naim Çağman

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