ULTRAMETRIC

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HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES
《Acta Mathematica Scientia》2019年第4期1017-1032,共16页Prondanai KASKASEM Chakkrid KILN-EAM 
Science Achievement Scholarship of Thailand, which provides funding for research
In this article, we prove hyperstability results of the generalized Cauchy-Jensen functional equation αf(x+y/α+z)=f(x)+y(y)+αf(z)for any fixed positive integer α> 2 in ultrametric Banach spaces by using fixed poin...
关键词：HYPERSTABILITY GENERALIZED Cauchy-Jensen FUNCTIONAL EQUATION ULTRAMETRIC space 
Anti-Robinson Structures for Analyzing Three-Way Two-Mode Proximity Data
《Applied Mathematics》2014年第6期983-1003,共21页Hans-Friedrich Kohn 
Multiple discrete (non-spatial) and continuous (spatial) structures can be fitted to a proximity matrix to increase the information extracted about the relations among the row and column objects vis-à-vis a represent...
关键词：Anti-Robinson Structure Three-Way Data Individual Differences ULTRAMETRIC Unidimensional Scale 
Fixed Point and Common Fixed Point Theorems for Cyclic Quasi-Contractions in Metric and Ultrametric Spaces
《Advances in Pure Mathematics》2012年第6期401-407,共7页Parin Chaipunya Yeol Je Cho Wutiphol Sintunavarat Poom Kumam 
In this paper, we prove introduce some fixed point theorems for quasi-contraction under the cyclical conditions. Then, we point out that a common fixed point extension is also applicable via our earlier results equipp...
关键词：CYCLIC Quasi-Contraction Co-Cyclic Quasi-Contraction METRIC SPACE ULTRAMETRIC SPACE 
(0,1)-MATRICES AND GENERALIZED ULTRAMETRIC MATRICES
《Systems Science and Mathematical Sciences》1999年第2期154-158,共5页XIANG Shuhuang(Department of Mathematics, Xi’an Jiaotong University, Xi’an 710049, & Department of Mathematics, Nankai University, Tianjin 300071, China) 
In this paper, using a graph theoretic approach, we give a necessary and sufficient condition for a (0,1)-matrix to be a nonsingular generalized ultrametric matrix.
关键词：(0 1)-matrix INVERSE M-MATRIX ULTRAMETRIC MATRIX GENERALIZED ultrametricmatrix. 
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