A generalization of a contraction principle in probabilistic metric spaces. Part II
نویسندگان
چکیده
منابع مشابه
A generalization of a contraction principle in probabilistic metric spaces. Part II
1.1. t-norms. A triangular norm (shortly t-norm) is a binary operationT : [0,1]×[0,1]→ [0,1] := I which is commutative, associative, monotone in each place, and has 1 as the unit element. Basic examples are TL : I × I → I , TL(a,b) =Max(a+ b− 1,0) (Łukasiewicz t-norm), TP(a,b) = ab, and TM(a,b) = Min{a,b}. We also mention the following families of tnorms: (i) Sugeno-Weber family (T λ )λ∈(−1,∞),...
متن کاملA contraction principle in generalized metric spaces
One of the generalizations of the Banach Fixed Point Theorem is due to Matkowski, who replaced contractivity by a weaker but still effective property. The aim of this note is to extend the contraction principle in this spirit for such semimetric spaces that are equipped with a natural generalization of the standard triangle inequality. The stability of fixed points is also investigated in this ...
متن کاملA Generalisation of Contraction Principle in Metric Spaces
Recommended by G ´ orniewicz Lech Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
متن کاملCompleteness in Probabilistic Metric Spaces
The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...
متن کاملA Contraction Theorem in Menger Probabilistic Metric Spaces
In this paper, we consider complete menger probabilistic quasimetric space and prove a common fixed point theorem for commuting maps in this space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.729