[PDF] Top 20 An arithmetical theorem for partially ordered sets

... Then each element of S has a unique reduced decomposition into irreducibles if and only if S is upper semi-modular and every three ideals covering a principal ideal are independent.. Thi[r] ... See full document

... In [] and [], several fixed point theorems are proved for set-valued mappings on china- complete posets and some applications have been provided. In the theorems in [] and [], the condition A requires that the values ... See full document

... The notion of fuzzy sets was introduced by Zadeh 44. Various concepts of fuzzy metric spaces were considered in 15, 16, 22, 45. Many authors have studied fixed point theory in fuzzy metric spaces; see, for ... See full document

... hyperconvex sets by Aron-szajn and Panitchpakdi in their fundamental article [1] on ...for ordered sets. In this fashion, Tarski ’ s fixed point theorem [3] becomes Sine and Soardi ’ s fixed ... See full document

... This type of problems was already investigated for delay or ordinary differential equa- tions in real-valued spaces by Drici et al. and also Nieto and Rodríguez-López [–]; see also [–]. The papers cited therein ... See full document

... Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005) 223–239.. [4] J.J.[r] ... See full document

... Nieto, JJ, Rodríguez-López, R: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations.[r] ... See full document

... Remark 3.14. As before mentioned, our purpose of this work is investigation on existence of global solution for Problem (3.1). On the other hand, the mapping B is well-defined just on [0, c ∗ ] and it is why ... See full document

... The purpose of this article is to present some fixed point theorems for (ψ, )-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence ... See full document

... that Theorem  could be applied to obtain maximal generators of integral stochastic orders which have been generated by means of partially ordered sets, since the maximal generator is the ... See full document

... Proof. We need to prove this only for x / 0. If x / 0, then there exists y ∈ P such that x y. Therefore, by the definition of a C-poset, there exists u y, and an up-complete lower set J such that x / ∈ J, and ↑ u ∪ J P. ... See full document

... Note th at the proof is similar in its approach to the original proof by Kubicki, Lehel and Morayne; however in the set-up where we can apply the FKG-inequality we can view this result as one of many possible correlation ... See full document

... point theorem of set-valued mappings on partially ordered sets, we prove an existence theorem of extended Nash equilibriums of the nonmonetized noncooperative ... See full document

... Bhashkar and Lakshmikantham in [11] introduced the concept of a coupled fixed point of a mapping F : X × X → X and investigated some coupled fixed point theorems in partially ordered complete metric spaces. ... See full document

... on partially ordered complete metric spaces which satisfy certain implicit ...not partially ordered ...to partially ordered ... See full document

... Suppose the contrary. Then there exists p ∈ P , q ∈ Q , and a ∉ Q such that p → (h(q) → h(a)) = 1. Since h is a homomorphism, then p → h(q → a) = 1 ∈ P . So, h(q → a) ∈ P and this implies that q → a ∈ h −1 (P ) ⊆ Q. ... See full document

... Abstract This thesis is presented in two parts In the first part, we study a family of models of random partial orders, called classical sequential growth models, introduced by Rideout and Sorkin as p[.] ... See full document

... A partially ordered set X is a totally ordered set if any two elements are ...a partially ordered set and Y is totally ordered, there is a natural interpretation of the term ... See full document

... in partially ordered metric spaces was first established by Nieto and Rodriguez-Lopez ...in partially ordered metric ...in partially ordered metric ...in partially ... See full document

... in partially ordeded metric ...point theorem in partially ordered cone metric spaces in which cone is not necessarilly normal and also mention one supported ... See full document