Author:
Nashine Hemant Kumar,Vetro Calogero,Kumam Wiyada,Kumam Poom
Abstract
Abstract
Ran and Reurings (Proc. Am. Math. Soc. 132(5):1435-1443, 2004) proved an analog of the Banach contraction principle in metric spaces endowed with a partial order and discussed some applications to matrix equations. The main novelty in the paper of Ran and Reurings involved combining the ideas in the contraction principle with those in the monotone iterative technique. Motivated by this, we present some common fixed point results for a pair of fuzzy mappings satisfying an almost generalized contractive condition in partially ordered complete metric spaces. Also we give some examples and an application to illustrate our results.
MSC:46S40, 47H10, 34A70, 54E50.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference48 articles.
1. Banach S: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundam. Math. 1922, 3: 133-181.
2. Tasković MR: Some new principles in fixed point theory. Math. Jpn. 1990, 4: 645-666.
3. Khan MS, Swaleh M, Sessa S: Fixed point theorems by altering distances between the points. Bull. Aust. Math. Soc. 1984, 30: 1-9. 10.1017/S0004972700001659
4. Abbas M, Ali Khan M: Common fixed point theorem of two mappings satisfying a generalized weak contractive condition. Int. J. Math. Math. Sci. 2009., 2009: Article ID 131068
5. Dutta PN, Choudhury BS: A generalization of contraction principle in metric spaces. Fixed Point Theory Appl. 2008., 2008: Article ID 406368
Cited by
7 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