Fixed point theorems for generalized F-contractions in b-metric-like spaces

Volume 9, Issue 5, pp 2161--2174 http://dx.doi.org/10.22436/jnsa.009.05.21

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Authors

Chunfang Chen - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Lei Wen - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Jian Dong - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China. Yaqiong Gu - Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China.

Abstract

In this paper, we introduce some new F-contractions in b-metric-like spaces and investigate some fixed point theorems for such F-contractions. Presented theorems generalize related results in the literature. An example is also given to support our main result.

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Keywords

• Fixed point
• F-contraction
• b-metric-like spaces.

MSC

•  47H10
•  54H25

References

• [1] T. Abdeljawad, Fixed points for generalized weakly contractive mappings in partial metric spaces, Math. Comput. Modelling, 54 (2011), 2923-2927.


• [2] T. Abdeljawad, E. Karapinar, K. Taş, Existence and uniqueness of a commmon fixed point on partial metric spaces, Appl. Math. Lett., 24 (2011), 1900-1904.


• [3] J. Ahmad, A. Al-Rawashdeh, A. Azam, New fixed point theorems for generalized F-contractions in complete metric spaces, Fixed Point Theory Appl., 2015 (2015), 18 pages.


• [4] M. A. Alghamdi, N. Hussain, P. Salimi, Fixed point and coupled fixed point theorems on b-metric-like spaces, J. Inequal. Appl., 2013 (2013), 25 pages.


• [5] H. H. Alsulami, E. Karapinar, H. Piri, Fixed points of generalized F-Suzuki type contraction in complete b-metric spaces, Discrete Dyn. Nat. Soc., 2015 (2015), 8 pages.


• [6] H. H. Alsulami, E. Karapinar, H. Piri, Fixed points of modified F-contractive mappings in complete metric-like spaces, J. Funct. Spaces, 2015 (2015), 9 pages.


• [7] A. Amini-Harandi , Metric-like spaces, partial metric spaces and fixed points , Fixed Point Theory Appl., 2012 (2012), 10 pages.


• [8] T. V. An, L. Q. Tuyen, N. V. Dung , Stone-type theorem on b-metric spaces and applications, Topology Appl., 185/186 (2015), 50-64.


• [9] C. F. Chen, J. Dong, C. X. Zhu, Some fixed point theorems in b-metric-like spaces, Fixed Point Theory Appl., 2015 (2015), 10 pages.


• [10] C. Chen, C. Zhu, Fixed point theorems for weakly C-contractive mappings in partial metric spaces , Fixed Point Theory Appl., 2013 (2013), 16 pages.


• [11] M. Cosentino, P. Vetro, Fixed point results for F-contractive mappings of Hardy-Rogers-Type, Filomat, 28 (2014), 715-722.


• [12] S. Czerwik , Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis, 1 (1993), 5-11.


• [13] N. Hussain, J. R. Roshan, V. Parvaneh, M. Abbas, Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications, J. Inequal. Appl., 2013 (2013), 21 pages.


• [14] E. Karapinar, I. M. Erhan, Fixed point theorems for operators on partial metric spaces, Appl. Math. Lett., 24 (2011), 1894-1899.


• [15] E. Karapinar, I. M. Erhan, A. Öztürk, Fixed point theorems on quasi-partial metric spaces, Math. Comput. Model., 57 (2013), 2442-2448.


• [16] E. Karapinar, M. A. Kutbi, H. Piri, D. O'Regan, Fixed points of conditionally F-contractions in complete metric-like spaces, Fixed Point Theory Appl., 2015 (2015), 14 pages.


• [17] M. A. Kutbi, E. Karapinar, J. Ahmad, A. Azam, Some fixed point results for multi-valued mappings in b-metric spaces, J. Inequal. Appl., 2014 (2014), 11 pages.


• [18] S. G. Matthews, Partial metric topology, New York Acad. Sci., New York, 728 (1994), 183-197.


• [19] H. Piri, P. Kumam, Some fixed point theorems concerning F-contraction in complete metric spaces, Fixed point Theory Appl., 2014 (2014), 11 pages.


• [20] S. Shukla, Partial b-metric spaces and fixed point theorems, Mediterr. J. Math., 11 (2013), 703-711.


• [21] D. Wardowski , Fixed points of a new type of contractive mappings in complete metric spaces , Fixed Point Theory Appl., 2012 (2012), 6 pages.