Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces
Journal Title: Surveys in Mathematics and its Applications - Year 2007, Vol 2, Issue 0
Abstract
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson (1931) , Albert (1941) and Kelly (1963)) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric space (PM-space shortly) [2, 3, 4, 6]. The idea of PM-spaces was introduced by Menger (1942, 1951), Schweizer and Sklar (1983) and Serstnev (1965). Families of pseudo-metrics generated by PM-spaces and those generalizing PM-spaces have been described by Stevens (1968) and Nishiure (1970).
Authors and Affiliations
Mariusz Grabiec, Yeol Je Cho, Reza Saadati
Keywords
Related Articles
- EP ID EP124075
- DOI -
- Views 112
- Downloads 0
A unique common fixed point theorem for occasionally weakly compatible maps
The aim of this paper is to establish a unique common fixed point theorem for two pairs of occasionally weakly compatible single and multi-valued maps in a metric space. This result improves the result of Türkoglu et al....
Homotopy analysis method for solving KdV equations
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy ana...
Fixed point theorems for generalized weakly contractive mappings
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family...
Multiple periodic solutions for a fourth-order discrete Hamiltonian system
By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltoni...
Corrigendum to: Existence of positive solution to a quasilinear elliptic problem in <B>R</B><SUP>N</SUP>
This is a Corrigendum to:<BLOCKQUOTE> <UL><LI><P align="justify"><B>Article:</B> Existence of Positive Solution to a Quasilinear Elliptic Problem in <B>R</B><SUP>N<...