Fixed point theorems in rational form via Suzuki approaches
Fixed point theorems in rational form via Suzuki approaches
In this paper we establish some fixed point theorems by using the new contractivecondition, introduced in [11] by T.Suzuki.
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- [1] J. Achari, On Ciri´ c’s non-unique fixed points, Mat. Vesnik, 13 (28)no. 3, 255-257 (1976)
- [2] M. Arshad, E. Karapınar, A. Jamshaid, Some unique fixed point theorems for rational contractions in partiallyordered metric spaces. J. Inequal. Appl. 2013, Article ID 248 (2013)
- [3] L.B. Ciric, On some maps with a nonunique fixed point. Publ. Inst. Math. 17, 52-58 (1974).
- [4] B. K. Dass and S. Gupta, An extension of Banach contraction principle through rational expressions, Indian J.Pure Appl. Math., 6(1975), 1455-1458
- [5] D. S. Jaggi, Some unique fixed point theorems, Indian J. Pure Appl. Math, vol. 8, pp. 223-230, 1977
- [6] E. Karapınar, A New Non-Unique Fixed Point Theorem, J. Appl. Funct. Anal. , 7 (2012),no:1-2, 92-97.
- [7] H.Piri, P.Kumam, Some fixed point theorems concerning F−contraction in complete metric spaces, Fixed PoinTheory Appl. 210(2014)
- [8] H.Piri, P.Kumam, Wardowski type fixed point theorems in complete metric spaces, Fixed Point Theory andApplications 20162016:45
- [9] Z. Mustafa, E. Karapınar and H. Aydi, A discussion on generalized almost contractions via rational expressionsin partially ordered metric spaces, Journal of Inequalities and Applications 2014, 2014:219
- [10] A. H. Soliman, Fixed point theorems for a generalized contraction mapping of rational type in symmetricspaces, Journal of the Egyptian Mathematical Society 25(2017), 298-301
- [11] T.Suzuki, Fixed point theorem for a kind of Ciric type contractions in complete metric spaces, Advances inthe Theory of Nonlinear Analysis and its Applications 2(2018) No 1, 33-41
- [12] T. Suzuki, A generalisation of Hegedus-Szilagyi’s fixed point theorem in complete metric spaces, Fixed PointTheory Appl., 2018, 2018:1
- [13] T. Suzuki, A new type of fixed point theorem on metric space, Nonlinear Anal., 71(2009), 5313-5317
- [14] D. Wardowski, Fixed Points of a new type of contractive mappings in complete metric spaces, Fixed PointTheory Appl. 94 (2012).
- [15] D. Wardowski, Van Dung,N.: Fixed points of F-weak contractions on complete metric spaces, DemonstratioMathematica, 2014.