Affiliation:
1. Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia
Abstract
During the last two decades the concept of F-contraction, its modifications,
extensions and applications, is in the spotlight of scientific research in
the area of Metric Fixed Point Theory. It is natural to ask what is the
relation between the newly introduced F-contraction and some well-known
classes of contraction mappings. We will discuss the relation between
F-contraction and some of its modification on one side and Boyd-Wong
contraction or Matkowski contraction on the other. The main aim is to
compare the conditions under which those classes of contractions obtain the
unique fixed point on a complete metric space and to prove under which
assumptions we assert that F-contraction is a Boyd-Wong or Matkowski
contraction.
Publisher
National Library of Serbia
Reference31 articles.
1. M. Abbas, M. Berzig, T. Nazir and E. Karapinar, Iterative approximation of fixed points for Presic type F-contraction operators, UPB Scientific Bulletin Series A: Applied Mathematics and Physics 78(13) (2016), 147-160.
2. M. Abbas, T. Nazir, T.A. Lampert and S. Radenović, Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph, Computational and Applied Mathematics 36 (2017), 1607-1622.
3. R.P. Agarwal, U. Aksoy, E. Karapinar and I. Erhan, F-contraction mappings on metric-like spaces in connection with integral equations on time scales, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114, 147 (2020).
4. J. Ahmad, A. Al-Rawashdeh and A. Azam, New fixed point theorems for generalized F-contractions in complete metric spaces, Fixed Point Theory and Applications 80 (2015)
5. I. Altun and M. Olgun, Fixed point results for Perov type F-contractions and an application, Fixed Point Theory and Applications, 22(46), (2020)
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