Author:
Roldán A,Martínez-Moreno J,Roldán C
Abstract
Abstract
In this paper we prove an existence and uniqueness theorem for contractive type mappings in fuzzy metric spaces. In order to do that, we consider a slight modification of the concept of a tripled fixed point introduced by Berinde et al. (Nonlinear Anal. TMA 74:4889-4897, 2011) for nonlinear mappings. Additionally, we obtain some fixed point theorems for metric spaces. These results generalize, extend and unify several classical and very recent related results in literature. For instance, we obtain an extension of Theorem 4.1 in (Zhu and Xiao in Nonlinear Anal. TMA 74:5475-5479, 2011) and a version in non-partially ordered sets of Theorem 2.2 in (Bhaskar and Lakshmikantham in Nonlinear Anal. TMA 65:1379-1393, 2006). As application, we solve a kind of Lipschitzian systems in three variables and an integral system. Finally, examples to support our results are also given.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference21 articles.
1. Bhaskar T, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. TMA 2006, 65(7):1379–1393. 10.1016/j.na.2005.10.017
2. Lakshmikantham V, Ćirić L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. TMA 2009, 70: 4341–4349. 10.1016/j.na.2008.09.020
3. Fang J: Common fixed point theorems of compatible and weakly compatible maps in Menger spaces. Nonlinear Anal. TMA 2009, 5–6: 1833–1843.
4. Shakeri S, Ćirić L, Saadati R: Common fixed point theorem in partially ordered L -fuzzy metric spaces. Fixed Point Theory Appl. 2010., 2010: Article ID 125082
5. Sedghi S, Altun I, Shobe N: Coupled fixed point theorems for contractions in fuzzy metric spaces. Nonlinear Anal. TMA 2010, 72(3–4):1298–1304. 10.1016/j.na.2009.08.018
Cited by
25 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