Computational coupled fixed points for \(\mathbf{F}\)-contractive mappings in metric spaces endowed with a graph


Authors

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.


Abstract

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.


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