Geodesic
A fixed point theorem for F-Khan-contractions on complete metric spaces and application to integral equations
Piri, Hossein 1 ; Rahrovi, Samira 1 ; Marasi, Hamidreza 2 ; Kumam, Poom 3
1 Department of mathematics, University of Bonab, Bonab 5551761167, Iran
2 Department of applied mathematics, Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran
3 KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4564-4573.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this article, we introduce a new concept of contraction called F-Khan-contractions and prove a fixed point theorem concerning this contraction which generalizes the results announced by Khan [M. S. Khan, Rend. Inst. Math. Univ. Trieste., ${\bf 8}$ (1976), 69--72], Fisher [B. Fisher, Riv. Math. Univ. Parma., ${\bf 4}$ (1978), 135--137], and Piri et al. [H. Piri, S. Rahrovi, P. Kumam, J. Math. Computer Sci., ${\bf 17}$ (2017), 76--83]. An example and application for the solution of certain integral equations are given to illustrate the usability of the obtained results.
DOI : 10.22436/jnsa.010.09.02
Classification : 74H10, 54H25
Keywords: Fixed point, metric space, integral equations.

Piri, Hossein  1 ; Rahrovi, Samira  1 ; Marasi, Hamidreza  2 ; Kumam, Poom  3

1 Department of mathematics, University of Bonab, Bonab 5551761167, Iran
2 Department of applied mathematics, Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran
3 KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 
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Piri, Hossein ; Rahrovi, Samira ; Marasi, Hamidreza ; Kumam, Poom . A  fixed point theorem for F-Khan-contractions on complete metric spaces and application to  integral equations. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4564-4573. doi : 10.22436/jnsa.010.09.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.09.02/

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