A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces

被引：57
作者：
Hadzic, O [1 ]
Pap, E [1 ]
机构：
[1] Univ Novi Sad, Fac Nat Sci & Math, Dept Math, YU-21000 Novi Sad, Yugoslavia
来源：
FUZZY SETS AND SYSTEMS | 2002年 / 127卷 / 03期
关键词：
fixed point theorem; multivalued mapping; probabilistic metric space; Menger space; fuzzy metric space; triangular norm;
D O I：
10.1016/S0165-0114(01)00144-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we shall generalize a fixed point theorem for multivalued mappings in probabilistic metric spaces proved in (J. Math. Anal. Appl. 202 (1996) 433-449). As a corollary a fixed point result in Menger spaces (S, F, T), where T is a strict t-norm, is obtained. Some special cases, where T is a member of Dombi, Schweizer-Sklar and Aczel-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：333 / 344
页数：12
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