The object of this paper is to establish a unique common fixed point theorem for six self-mappings satisfying a generalized contractive condition through compatibility of type (β) and weak compatibility in a fuzzy metric space. It significantly generalizes the result of Singh and Jain [The Journal of Fuzzy Mathematics (2006)] and Sharma [Fuzzy Sets and Systems (2002)]. An example has been constructed in support of our main result. All the results presented in this paper are new.
The article introduces the basic principles of compensation for medical malpractice, mainly by means of a civil liability sytem, in the Czech Republic. It outlines the normative framework and illustrates its application in practice on selected case law of Czech courts. As the judicial system has both advantages and disadvantages, available alternatives to court proceedings are also discussed even if they tend to be uaed rather conservatively. Furthermore, the text presents changes to the law, including those already carried out by the relatively new Civil Code and some potential future developments, together with remarks about the overall legal context in which the system of compensation for harm from healthcare operates., Tomáš Holčapek, Petr Šustek., and Obsahuje bibliografické odkazy
The paper presents the basic theory of complementary statistics and its application in the area of applied probabilistic modeling. By introduction of the complementarity's principle between x-representation (random time series, random process) and p-representation or k-representation (rate of change/velocity of random time series and processes) the probability theory is completed for the "structural" parameter which carries information about the changes of studied time series or the random process. At the end, the basic application of probabilistic modeling is introduced and the presented principle is illustrated on the set of numerical examples with different probability density functions.
We give sufficient conditions on Banach spaces $X$ and $Y$ so that their projective tensor product $X\otimes _\pi Y$, their injective tensor product $X\otimes _\epsilon Y$, or the dual $(X\otimes _\pi Y)^*$ contain complemented copies of $\ell _p$.
The complete mitochondrial genome of a pyraloid species, Palpita hypohomalia, was sequenced and analyzed. This mitochondrial genome is circular, 15,280 bp long, and includes 37 typical metazoan mitochondrial genes (13 protein-coding genes, two ribosomal RNA genes, 22 transfer RNA genes) and an A + T-rich region. Nucleotide composition is highly biased toward A + T nucleotides (81.6%). All 13 protein-coding genes (PCGs) initiate with the canonical start codon ATN, except for cox1 which is CGA. The typical stop codon TAA occurs in most PCGs, while nad2 and cox2 show TAG and an incomplete termination codon T, respectively. All tRNAs have a typical clover-leaf structure, except for trnS1 (AGN) which lacks the dihydrouridine (DHU) arm. Comparative mitochondrial genome analysis showed that the motif "ATGATAA" between atp8 and atp6, and the motif "ATACTAA" between trnS2 and nad1 were commonly present in lepidopteran mitogenomes. Furthermore, the "ATAG" and subsequent poly-T structure, and the A-rich 3' end were conserved in the A + T-rich regions of lepidopteran mitogenomes. Phylogenetic analyses based on our dataset of 37 mitochondrial genes yielded identical topology for the Pyraloidea, and is generally identical with that recovered by a previous study based on multiple nuclear genes. In a previous study of the Crambidae, the Evergestinae was synonymized with Glaphyriinae; the present study is the first to clarify their close relationship with mitogenome data.
We prove that a connected Riemannian manifold admitting a pair of nontrivial Einstein-Weyl structures (g, ±ω) with constant scalar curvature is either Einstein, or the dual field of ω is Killing. Next, let (Mn , g) be a complete and connected Riemannian manifold of dimension at least 3 admitting a pair of Einstein-Weyl structures (g,±ω). Then the Einstein-Weyl vector field E (dual to the 1-form ω) generates an infinitesimal harmonic transformation if and only if E is Killing.
A subobjects structure of the category $\Omega $- of $\Omega $-fuzzy sets over a complete $MV$-algebra $\Omega =(L,\wedge ,\vee ,\otimes ,\rightarrow )$ is investigated, where an $\Omega $-fuzzy set is a pair ${\mathbf A}=(A,\delta )$ such that $A$ is a set and $\delta \:A\times A\rightarrow \Omega $ is a special map. Special subobjects (called complete) of an $\Omega $-fuzzy set ${\mathbf A}$ which can be identified with some characteristic morphisms ${\mathbf A}\rightarrow \Omega ^*=(L\times L,\mu )$ are then investigated. It is proved that some truth-valued morphisms $\lnot _{\Omega }\:\Omega ^*\rightarrow \Omega ^*,\cap _{\Omega }$, $\cup _{\Omega } \:\Omega ^*\times \Omega ^*\rightarrow \Omega ^*$ are characteristic morphisms of complete subobjects.
In this paper, after giving the basic results related to the product of functions and the graph of functions in intuitionistic fuzzy topological spaces, we introduce and study the concept of fuzzy completely continuous functions between intuitionistic fuzzy topological spaces.