March-April RANDOM COINCIDENCE POINTS FOR MULTI-VALUED NON-LINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES N. Shafqat , N. Yasmin , Z. Akhter c a,b Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800,Pakistan. c Department of Mathematics, The Islamia University Bhawalpur [email protected], [email protected], [email protected] A...

In this paper connectedness is studied in weaker (monotone, quasi-directed) spaces and we examine sets having the ending property (e.p.). 2000 Mathematics Subject Classification: 54A99, 54C05

Property testers are fast randomized algorithms for distinguishing between objects satisfying a certain property from those that are 2-far from satisfying it. The focus of this thesis is in testing properties of graphs. This thesis is composed of three parts: In the first part of this thesis we study general testability results without much care how large the involved constants are as a functio...

A square matrix is said to have property n if there exists a positive integer w such that Aw nonnegative. In this paper, we study the core-EP monotonicity for property-n matrices. Some necessary and sufficient conditions be monotone are given. Moreover, condition real nonnegative inverse also presented.

A coordinate cone in R n is an intersection of some coordinate hy-perplanes and open coordinate half-spaces. A semi-monotone set is an open bounded subset of R n , definable in an o-minimal structure over the reals, such that its intersection with any translation of any coordinate cone is connected. This can be viewed as a generalization of the convexity property. Semi-monotone sets have a numb...

The Jordan decomposition states that a function f : R → R is of bounded variation if and only if it can be written as the difference of two monotone increasing functions. In this paper we generalize this property to real valued BV functions of many variables, extending naturally the concept of monotone function. Our result is an extension of a result obtained by Alberti, Bianchini and Crippa. A...

In this paper first of all we introduce Property $U$-($G$-$PWP$) of acts, which is an extension of Condition $(G$-$PWP)$ and give some general properties. Then we give a characterization of monoids when this property of acts implies some others. Also we show that the strong (faithfulness, $P$-cyclicity) and ($P$-)regularity of acts imply the property $U$-($G$-$PWP$). Finally, we give a necessar...

Fuzzy interpolation property is among the most important properties of fuzzy inference systems. It has been showed that the normality plus Ruspini condition applying to the antecedent fuzzy sets is a sufficient condition with a high practical impact. Another important property is the monotone behavior of the resulting control function (after a defuzzification) derived from a monotone fuzzy rule...

Proof of Lemmas A.2 and A.1. {Λi}i is an equilibrium if and only if {Λi}i = F ({Λi}i). By direct calculation, defining Xi = (Λi + αiVN(i)), we get {Λi}i = F ({Λi}i) if, and only if, {Xi}i = G({Xi}i). That F and G are monotone increasing follows because matrix inversion Y → Y −1 is monotone decreasing (e.g., Horn and Johnson (2013)), and projection onto N(i) Y → YN(i) is monotone increasing in t...

For a Boolean function f, let D(f) denote its deterministic decision tree complexity, i.e., minimum number of (adaptive) queries required in worst case in order to determine f. In a classic paper, Rivest and Vuillemin [19] show that any non-constant monotone property P : {0, 1}( n 2) → {0, 1} of n-vertex graphs has D(P) = Ω(n). We extend their result to 3-uniform hypergraphs. In particular, we ...