Author:
Roldán-López-de-Hierro Antonio-Francisco,Karapınar Erdal,de la Sen Manuel
Abstract
Abstract
In this paper, we present some coincidence point theorems in the setting of quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize our results to the field of metric spaces, partially ordered metric spaces and G-metric spaces, obtaining some very recent results. Finally, we show how to use our main theorems to obtain coupled, tripled, quadrupled and multidimensional coincidence point results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference26 articles.
1. Ran ACM, Reurings MCB: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 2004, 132: 1435–1443. 10.1090/S0002-9939-03-07220-4
2. Nieto JJ, Rodríguez-López R: Contractive mapping theorem in partially ordered sets and applications to ordinary differential equations. Order 2005, 22: 223–239. 10.1007/s11083-005-9018-5
3. Gnana-Bhaskar T, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 2006, 65: 1379–1393. 10.1016/j.na.2005.10.017
4. Lakshmikantham V, Ćirić LJ: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 2009, 70(12):4341–4349. 10.1016/j.na.2008.09.020
5. Kutbi MA, Roldán A, Sintunavarat W, Martínez-Moreno J, Roldán C: F -Closed sets and coupled fixed point theorems without the mixed monotone property. Fixed Point Theory Appl. 2013., 2013: Article ID 330
Cited by
27 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献