Phumin Sumalai - KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. Poom Kumam - KMUTT-Fixed Point Research Laboratory, Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand. Dhananjay Gopal - Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat-395007, Gujarat, India.
The purpose of this work is to present some existence theorems for coupled fixed points of F-type contractive operator in metric spaces endowed with a directed graph. Our results generalize the main result obtained by Chifu and Petrusel [C. Chifu, G. Petrusel, Fixed Point Theory Appl., 2014 (2014), 13 pages]. We also present applications to some nonlinear integral system equations to support the results.
Phumin Sumalai, Poom Kumam, Dhananjay Gopal, Computational coupled fixed points for \(\mathbf{F}\)-contractive mappings in metric spaces endowed with a graph, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 372-385
Sumalai Phumin, Kumam Poom, Gopal Dhananjay, Computational coupled fixed points for \(\mathbf{F}\)-contractive mappings in metric spaces endowed with a graph. J Math Comput SCI-JM. (2016); 16(3):372-385
Sumalai, Phumin, Kumam, Poom, Gopal, Dhananjay. "Computational coupled fixed points for \(\mathbf{F}\)-contractive mappings in metric spaces endowed with a graph." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 372-385