We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

in this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. weshow that obtained result is an extension of the result ofrodr'{i}guez-l'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

in this paper, a monotone positive solution is studied for buckling of a distributed model of multi walled carbon nanotube (mwcnt) cantilevers in the vicinity of thin and thick graphite sheets subject to intermolecular forces. in the modeling of intermolecular forces, van der waals forces are taken into account. a hybrid nano-scale continuum model based on lennard–jones potential is applied to ...

plexity method is not well suited to resolving this question. On the other hand, Razborov's approximation method also does not seem suitable, since so far it has been applied mainly to prove superpolynomial bounds for monotone circuits, while U C O N N , can be computed by polynomial-size monotone circuits. We show that any monotone circuit for computing graph connectivity must have a depth gre...

The method of monotone iterative technique together with coupled lower and upper solutions is employed to prove the existence of coupled extremal solutions when the forcing function is the sum of an increasing and decreasing functions. This is referred to as generalized monotone method. This will include the usual monotone method results as special cases. Further using uniqueness condition uniq...

The tensor method for unconstrained optimization was first introduced by Schnable and Chow [SIAM Journal on Optimization, 1 (1991): 293–315], where each iteration bases upon a fourth order model for the objective function. In this paper, we propose a tensor method with a non-monotone line search scheme for solving the unconstrained optimization problem, and show the convergence of the method. W...

In many data mining applications, it is a priori known that the target function should satisfy certain constraints imposed by, for example, economic theory or a human-decision maker. In this paper we consider partially monotone prediction problems, where the target variable depends monotonically on some of the input variables but not on all. We propose a novel method to construct prediction mod...

We adapt the quasi-monotone method, an algorithm characterized by uniquely having convergence quality guarantees for last iterate, composite convex minimization in stochastic setting. For proposed numerical scheme we derive optimal rate of $$\text{ O }\left( \frac{1}{\sqrt{k+1}}\right)$$ terms rather than on average as it is standard subgradient methods. The theoretical guarantee individual reg...

The paper deals with special types of $L$-ordered sets, $L$-fuzzy complete lattices, and fuzzy directed complete posets.First, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $L$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $L$-fuzzy complete lattice $(P;e)$, then the least fixpoint of $f$ is meet of a spe...