The fundamental concept of the fuzzy logic has been weakened by requiring a mere membership relation; consequently an ordered fuzzy number (OFN) arises as an ordered pair of continuous real functions defined on the interval [0, 1]. Four algebraic operations are constructed in a way that renders them an algebra. Further, a norm is introduced which makes them a Banach space. A class of linear def...

The purpose of this paper is to investigate the asymptotic behavior of algorithms for finding solutions for a certain class of variational inequalities V ID(C, I−f) involving nonexpansive type mappings in smooth Banach spaces. We study existence of solutions of variational inequalities V ID(C, I− f) when D is the set of solutions of zeros of accretive operators or the set of fixed points of non...

A.S. Fraenkel introduced a new (s, t)-Wythoff’s game which is a generalization of both Wythoff’s game and a-Wythoff’s game. Four new models of a restricted version of (s, t)-Wythoff’s game, Odd-Odd (s, t)-Wythoff’s Game, Even-Even (s, t)Wythoff’s Game, Odd-Even (s, t)-Wythoff’s Game and Even-Odd (s, t)-Wythoff’s Game, are investigated. Under normal or misère play convention, all P -positions of...

Let (X,H) be a pair of a smooth rational surface X and an ample divisor H on X . Assume that (KX , H) < 0. Let MH(r, c1, χ) be the moduli space of semi-stable sheaves E of rk(E) = r, c1(E) = c1 and χ(E) = χ. To consider relations between moduli spaces of different invariants is an interesting problem. If (c1, H) = 0 and χ ≤ 0, then Maruyama [Ma2], [Ma3] studied such relations and constructed a ...

It is well known that the right (left) regular, regular, and intra-regular ordered semigroups play an essential role in studying the structure, especially the decomposition, of ordered semigroups. In the present paper we study some more general classes containing the right regular, left regular, regular and intra-regular ordered semigroups. As an application of our results we get characterizati...

&lt;abstract&gt;&lt;p&gt;The goal of this paper is to present a new class contraction mappings, so-called $ \eta _{\theta }^{\ell } $-contractions. Also, in the context partially ordered metric spaces, some coupled fixed-point results for $-contraction mappings are introduced. Furthermore, support our results, two examples provided. Finally, theoretical applied obtain existence solutions fracti...

Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, ...

Let G be a connected reductive algebraic group defined over an algebraically closed field F of characteristic not 2. Denote the Lie algebra of G by 9. In this paper we shall classify the isomorphism classes of ordered pairs of commuting involutorial automorphisms of G. This is shown to be independent of the characteristic of F and can be applied to describe all semisimple locally symmetric spac...

ABSTRACT Studies of dense core morphologies and their orientations with respect to gas flows the local magnetic field have been limited only a small sample cores spectroscopic data. Leveraging Green Bank Ammonia Survey alongside existing sub-millimeter continuum observations Planck dust polarization, we produce cross-matched catalogue 399 estimates morphology, size, mass, specific angular momen...