On fixed point theorem in complete quasi-metric space under F-contraction mapping

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Rifaat Saad Abdul-Jabbar

Abstract

In this paper, a fixed point theorem under F-contraction mapping was considered and proved in complete quasi-metric space. This theorem was considered by Piri and Kumam in [1].


Subject Classification : 30C45; 30C10; 47B38

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On fixed point theorem in complete quasi-metric space under F-contraction mapping. (2019). Tikrit Journal of Pure Science, 24(2), 88-90. https://doi.org/10.25130/tjps.v24i2.358

References

[1] H. Piri , P. Kumam, ‘Some fixed point theorems concerning F-contraction in complete metric spaces ’ Fixed Point Theory and Applications (2014), 2014:210

[2] J. Ahmad et al. ‘New fixed point theorems for generalized F-contractions in complete metric spaces’, Fixed Point Theory and Applications (2015) 2015:80

[3] R. H. Haghi et. al.’ Some fixed point generalizations are not real generalizations ‘Nonlinear Analysis 74 (2011) 1799–1803

[4] I. A. Rus, M. Serban, ’Some fixed point theorems for non-self-generalized contraction’ Miskolc Mathematical Notes HU Vol. 17 (2017), No. 2, pp. 1021–.1031,

[5] N. Hussain et al., ‘Fixed Point Theory in α-Complete Metric Spaces with Applications’, Hindawi Publishing Corporation Abstract and Applied Analysis Volume (2014), Article ID 280817, 11 pages.

[6] V. Gupta1, R. Kaur, ‘Some common fixed point theorems for a class of A-contraction on 2-metric space’, International Journal of Pure and Applied Mathematics, Vol. 78 No. 6 (2012), 909-916

[7] K. Abodayeh et al., ‘Some fixed point theorems in quasi-metric spaces under quasi weak contractions ‘ Global Journal of Pure and Applied Mathematics Vol. 12, Number 6 (2016), pp. 4771–4780

[8] M. Jleli, and B. Samet, ‘Remarks on G-metric spaces and fixed point theorems.’, Fixed Point Theory Appl. 2012, Article ID 210 (2012).

[9] D. Wardowski,’ Fixed point of a new type of contractive mappings in complete metric spaces’, Fixed Point Theory Appl. 2012, Article ID 94 (2012)

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