Showing papers on "Isotone published in 2015"
TL;DR: In this paper, the concept of covering (regularity) for mappings in partially ordered spaces is introduced and sufficient conditions for the existence of coincidence points and minimal coincidence points of isotone and orderly covering mappings are obtained.
25 citations
TL;DR: In this paper, the authors proved the existence of common fixed points for isotone increasing mappings in ordered bmetric spaces and improved the remarkable results established by Roshan et al.
Abstract: In this article we prove the existence of common fixed points for isotone increasing mappings in ordered bmetric spaces. Our results unite and improve the recent remarkable results, established by Roshan et al. [J. R. Roshan, V. Parvaneh, Z. Kadelburg, J. Nonlinear Sci. Appl. 7 (2014), 229–245], with much more general conditions and shorter proofs. An example is given to show the superiority of our genuine generalization. c ©2015 All rights reserved.
12 citations
TL;DR: In this paper, the authors apply order-theoretic fixed point theorems and isotone selection theoremologies to study quasi-equilibrium problems, and obtain existence results on Hilbert lattices, chain complete lattices and chain-complete posets.
Abstract: In this paper, we apply order-theoretic fixed point theorems and isotone selection theorems to study quasi-equilibrium problems. Some existence theorems of solutions to quasi-equilibrium problems are obtained on Hilbert lattices, chain-complete lattices and chain-complete posets, respectively. In contrast to many papers on equilibrium problems, our approach is order-theoretic and all results obtained in this paper do not involve any topological continuity with respect to the considered mappings.
6 citations
15 Feb 2015
TL;DR: In this article, the notion of f-derivation in a BE-algebra is introduced, and the properties of F-derivations are investigated. And it is shown that if d is a f-fllter F is a d-invariant.
Abstract: In this paper, we introduce the notion of f-derivation in a BE- algebra, and consider the properties of f-derivations. Also, we characterize the flxed set Fixd(X) and Kerd by f-derivations. Moreover, we prove that if d is a f-derivation of a BE-algebra, every f-fllter F is a a d-invariant.
5 citations
Posted Content•
TL;DR: In this paper, the existence of a unique pure-strategy Nash equilibrium in nice games with isotone chain-concave best replies and compact strategy sets is proved. But the existence is not guaranteed.
Abstract: We prove the existence of a unique pure-strategy Nash equilibrium in nice games with isotone chain-concave best replies and compact strategy sets. We establish a preliminary fixpoint uniqueness argument showing sufficient assumptions on the best replies of a nice game that guarantee the existence of exactly one Nash equilibrium. Then, by means of a comparative statics analysis, we examine the necessity and sufficiency of the conditions on (marginal) utility functions for such assumptions to be satisfied; in particular, we find necessary and sufficient conditions for the isotonicity and chain-concavity of best replies. We extend the results on Nash equilibrium uniqueness to nice games with upper unbounded strategy sets and we present "dual" results for games with isotone chain-convex best replies. A final application to Bayesian games is exhibited.
2 citations
09 Feb 2015
TL;DR: In this article, the authors argue that a way trough the problem could be to try to establish first, or at the same time, the quite elusive "nature" of the second s-state in the Beryllium isotopes with A=9-14.
Abstract: Among exotic nuclei those at the drip line which are unstable against neutron emission are particularly interesting because they convey information on the nuclear force in the most extreme situations. Strictly speaking they are not ''nuclei" but they exist thanks to long living resonances between a neutron and a bound ''core" nucleus. Adding one more neutron they become bound and are called "borromean". Being particularly exotic they have attracted much attention in past years, see for example Refs.[1, 2, 3]. One very challenging example is 13Be whose level ordering has been discussed in a large number of papers in which it has been studied by transfer [4] and fragmentation experiments [5]-[11], or it has been discussed theoretically[12]-[19]. Although projectile fragmentation spectra show evident similarities, the interpretations of data all differ from each other. In this paper we argue that a way trough the problem could be to try to establish first, or at the same time, the quite elusive "nature" of the second s-state in the Beryllium isotopes with A=9-14. On the other hand there are other recent neutron removal experiments leading to nuclei unstable by one or more proton emissions [20], and thus somewhat mirror to borromean nuclei, performed with nuclei close to the proton drip line. It has been shown that by taking in coincidence all (charged) particles but the removed neutron, reconstructing the invariant mass and gating on the ground state peak, it is possible to obtain the longitudinal momentum distribution of the unbound "core". One can link it to the original wave function of the bound orbital and thus determine the initial neutron angular momentum from the shape of the distribution and the initial occupation probability from the absolute removal cross section. Then it is clear that modern experiments and theories are able to study unstable nuclei with the same degree of accuracy as stable nuclei. Such a line of research offers a great potential for numerous further studies beyond the drip line.
1 citations
Posted Content•
TL;DR: In this article, the authors determine all pairs for which the Alexander dual of the ideal (L(P,Q) coincides with the isotone map from P to Q, up to a switch of the indices.
Abstract: For a pair $(P,Q)$ of finite posets the generators of the ideal $L(P,Q)$ correspond bijectively to the isotone maps from $P$ to $Q$. In this note we determine all pairs $(P,Q)$ for which the Alexander dual of $L(P,Q)$ coincides with $L(Q,P)$, up to a switch of the indices.
1 citations
Proceedings Article•
01 Jan 2015TL;DR: It is shown that the bonds defined using the dual \((l,k)\)-connection have very natural properties, based on Krupka's results on factorizations of complete residuated lattices.
Abstract: We describe properties of compositions of isotone bonds be- tween L-fuzzy contexts over dierent complete residuated lattices and we show that L-fuzzy contexts as objects and isotone bonds as arrows form a category.
1 citations
01 Apr 2015
TL;DR: Based on the order theory, a study of the differences between the preordering and the ordering and a discussion of the isotone map and homomorphism map are obtained in this paper, where it is shown that the algebraic sublattice of the ordering sub-Lattice is equivalent with the strengthen condition.
Abstract: Based on the order theory, a study of the differences between the preordering and the ordering and a discussion of the isotone map and homomorphism map are obtained. According to the differences of the constructions of the algebraic lattice and the ordering lattice, we prove the algebraic sublattice and the ordering sublattice are equivalent with the strengthen condition.
TL;DR: This note gives a complete characterization of when the ordinal sum of two lattices (the lattice obtained by placing the second lattice on top of the first) is projective.
Abstract: This note gives a complete characterization of when the ordinal sum of two lattices (the lattice obtained by placing the second lattice on top of the first) is projective. This characterization applies not only to the class of all lattices, but to any variety of lattices, and in particular, to the class of distributive lattices. Lattices L with the property that every epimorphism onto L has an isotone section are also characterized.
01 Jan 2015
TL;DR: In addition to the well-established quadrupole mixed-symmetry states, octupole and hexadecapole excitations have been recently proposed for the N = 52 isotones 92Zr and 94Mo as mentioned in this paper.
Abstract: In addition to the well-established quadrupole mixed-symmetry states, octupole and hexadecapole excitations with mixed-symmetry character have been recently proposed for the N = 52 isotones 92Zr and 94Mo. We performed two inelastic proton-scattering experiments to study this kind of excitations in the heaviest stable N = 52 isotone 96Ru. From the combined experimental data of both experiments absolute transition strengths were extracted.