Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces

被引：28
|
作者：
Choudhury, Binayak S. [1 ]
Das, Krishnapada [1 ]
Das, Pradyut [1 ]
机构：
[1] Bengal Engn & Sci Univ, Dept Math, Howrah 711103, W Bengal, India
来源：
FUZZY SETS AND SYSTEMS | 2013年 / 222卷
关键词：
Partially ordered set; Fuzzy metric space; Topology; Hadzic type t-norm; Cauchy sequence; Compatible mappings; Coupled coincidence point; Mixed monotone property; NONLINEAR CONTRACTIONS; THEOREMS;
D O I：
10.1016/j.fss.2012.07.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Coupled fixed point problems have attracted much attention in recent times. In this paper we establish coupled coincidence point and coupled fixed point results in the context of fuzzy metric spaces. The two mappings considered here are assumed to be compatible. Hadzic type t-norm is used. By an application of the coincidence point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. The main theorem of this paper is illustrated with an example. Our work extends some existing results. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：84 / 97
页数：14
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