A fixed point theorem for F-Khan-contractions on complete metric spaces and application to integral equations


Authors

Hossein Piri - Department of mathematics, University of Bonab, Bonab 5551761167, Iran. Samira Rahrovi - Department of mathematics, University of Bonab, Bonab 5551761167, Iran. Hamidreza Marasi - Department of applied mathematics, Faculty of mathematical sciences, University of Tabriz, Tabriz, Iran. Poom Kumam - 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.


Abstract

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.


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ISRP Style

Hossein Piri, Samira Rahrovi, Hamidreza Marasi, Poom Kumam, A fixed point theorem for F-Khan-contractions on complete metric spaces and application to integral equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4564--4573

AMA Style

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. J. Nonlinear Sci. Appl. (2017); 10(9):4564--4573

Chicago/Turabian Style

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 Applications, 10, no. 9 (2017): 4564--4573


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