In this paper, by minimizing the distance between CG direction and of improved Perry conjugate gradient method [Yao et al., Numer. Algorithms 78 (2018) 1255–1269], we propose a descent modified HS method. A remarkable property is that it can produce sufficient property, which independent line search used. Under suitable conditions, prove with standard Armijo globally convergent for uniformly co...

Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...

The conjugate gradient method was an efficient technique for solving the unconstrained optimization problem. In this paper, we made a linear combination with parameters β k of the DY method and the HS method, and putted forward the hybrid method of DY and HS. We also proposed the hybrid of FR and PRP by the same mean. Additionally, to present the two hybrid methods, we promoted the Wolfe line s...

The variety of Heyting algebras has a nice property that HS = SH. Heyting algebras are the algebraic dual of intuitionistic descriptive frames. The goal of this paper is to define proper dual notions so as to formulate this algebraic properties in the frame language, and to give a frame-based proof of this property and some other duality theorems.

BACKGROUND Vitamin C (VitC) has recently been shown to exert beneficial effects, including protecting organ function and inhibiting inflammation, in various critical care conditions, but the specific mechanism remains unclear. Induction of heme oxygenase (HO)-1, a heat shock protein, has been shown to prevent organ injuries in hemorrhagic shock (HS) but the relationship between VitC and HO-1 ar...

A new approach for power system event recognition and classification using HS-transform and RBFNN is presented in this paper. Different power system events (disturbances) like sag, swell, notch, spike, transient, and chirp are generated and processed through Hyperbolic S-transform (HS-Transform). The excellent time-frequency resolution property of HS-Transform is used to extract useful informat...

Optimization is now considered a branch of computational science. This ethos seeks to answer the question «what best?» by looking at problems where quality any can be expressed numerically. One most well-known methods for solving nonlinear, unrestricted optimization conjugate gradient (CG) method. The Hestenes and Stiefel (HS-CG) formula one century’s oldest effective formulas. When using an ex...

Hypersuppressiveness is a heritable property of some rho- mutants (called HS) that, in crosses to rho+, give rise to about 100% rho- cells. The mtDNAs of all HS rho- mutants reveal a common organization: they all share a homologous region of about 300 base pairs (called rep) and the fragments retained are always short (ca. 1% of the wild-type genome) and tandemly repeated. Using one HS rho- mut...