[PDF] Top 20 From random lines to metric spaces

... scale-invariant random spatial network (SIRSN) by means of connecting up points using paths which follow segments from the line pro- cess at the stipulated ...parameter-dependent random geodesic ... See full document

... In our Corollary 2.5, the size of the intersection of a random covering set with a given analytic set F is measured. This parallels the results of Bugeaud and Durand in the case of slow approximation speed, and ... See full document

... In , the Polish mathematician Stefan Banach established a remarkable fixed point the- orem, the famous contraction principle, which is one of the most important results of analysis. It is the most widely applied fixed ... See full document

... Before that, we must point out that the author did not appropriately take limit in the inequalities throughout the paper. Let us show some examples. Following the lines of The- orem . in [], as t ∈ fX ⊂ gX, ... See full document

... one random metric spaces for four weakly random compatible mappings under strict contractive ...weakly random compatible mappings and for one random mapping are ...cone ... See full document

... probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations linear functional equations, generalized equation of the square root spiral, ... See full document

... [26] Plubtieng, S., Kumam, P. and Wangkeeree, R. “Approximation of a common fixed point for a finite family of random operators” International J. of Math. And Mathematical sciences (2007) 1-12. [27] Sehgal, V.M. ... See full document

... probabilistic metric space was introduced by Menger [] which is an interesting and an important generalization of the notion of a metric ...(or metric) space was initiated and developed in [–]; ... See full document

... ordered metric space was first considered in Ran and Reuriungs ...ordered metric spaces. Below we prove some nonunique random fixed point theorems for monotone random mappings in ... See full document

... cone metric space and P a normal cone with normal constant ...cone metric space X and let T and S be commuting random operators defined on M such that for w∈ Ω, T(ω, ... See full document

... probabilistic metric spaces, introduced in 1942 by Menger [14], was developed by numerous authors, as it can be realized upon consult- ing [4, 18] and the references ...probabilistic metric ... See full document

... common random fixed p oint t heorem i n c one r andom m etric spaces for four weakly compatible mappings by using an implicit ...three random weakly compatible mappings are ...cone random ... See full document

... In particular, we extend the study of Bauschke [1] from the linear case of Hilbert spaces to metric spaces. Similarly we show that the examples of convergence hold in the absence of ... See full document

... called a best approximant of x in G if x − g ° = d ( G x , ) . We usually denote the set of all best approximants of x in G as P ( x , G ) . If for each x ∈ X , the set P ( x , G ) ≠ φ , then G is said to be proximinal ... See full document

... 47H10, 54H25 INTRODUCTION AND PRELIMINARIES Recently, a number of fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces have been proved by many[r] ... See full document

... [9]. Han , O: Random fixed point theorems. In: 1957 Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes Held at Liblice Near Prague ... See full document

... Alotaibi, Mursaleen, Sharma and Mohiuddine[1] used the Musielak-Orlicz function M= (M k ) , p = ( p k ) a bounded sequence of positive real numbers and σ one- to- one mapping from the set of positive integers into ... See full document

... In the following we show that in partial metric spaces Mizoguchi and Takahashi's con- tractive condition (2.1) is useful to achieve common fixed points of two distinct mappings. Whereas this condition is ... See full document

... The following are nontrivial examples of complete C ∗ -algebra-valued metric space. Example . Let X = L ∞ (E) and H = L  (E), where E is a Lebesgue measurable set. By L(H) we denote the set of bounded linear ... See full document

... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) and f ... See full document