Assume that F is a nonlinear operator on a real Hilbert space H which is strongly monotone and Lipschitzian with constants η > 0 and κ > 0, respectively on a nonempty closed convex subset C of H . Assume also that C is the intersection of the fixed point sets of a finite number of nonexpansive mappings on H . We develop an implicit hybrid steepest-descent method which generates an iterative seq...

helicobacter pylori (h. pylori) is a spiral-shaped gram negative bacterium that naturally colonizes the human gastric epithelium. in recent years, large evidence has come to the literature strongly proposing causal link between h. pylori and extra gastric disorders. cardiovascular system is one of the extra gastric organs that can be affected by h. pylori infection. the first evidence suggestiv...

Fractional integral operators are useful tools for generalizing classical inequalities. Convex functions play very important role in the theory of mathematical This paper aims to investigate Hadamard type inequalities a generalized class namely strongly (α,h−m)-p-convex by using Riemann–Liouville fractional integrals. The results established this give refinements various well-known which have b...

A graceful labeling of a graph $G=(V,E)$ with $m$ edges is aninjection $f: V(G) rightarrow {0,1,ldots,m}$ such that the resulting edge labelsobtained by $|f(u)-f(v)|$ on every edge $uv$ are pairwise distinct. For natural numbers $n$ and $k$, where $n > 2k$, a generalized Petersengraph $P(n, k)$ is the graph whose vertex set is ${u_1, u_2, cdots, u_n} cup {v_1, v_2, cdots, v_n}$ and its edge set...

We consider a variable metric and inexact version of the fast iterative soft-thresholding algorithm (FISTA) type considered in [L. Calatroni A. Chambolle, SIAM J. Optim., 29 (2019), pp. 1772--1798; Chambolle T. Pock, Acta Numer., 25 (2016), 161--319] for minimization sum two (possibly strongly) convex functions. The proposed is combined with an adaptive (nonmonotone) backtracking strategy, whic...

let $g$ be a finite group‎. ‎a subgroup‎ ‎$h$ of $g$ is called an $mathcal h $ -subgroup in‎ ‎$g$ if $n_g (h)cap h^gleq h$ for all $gin‎ ‎g$. a subgroup $h$ of $g$ is called a weakly‎ $mathcal h^ast $-subgroup in $g$ if there exists a‎ ‎subgroup $k$ of $g$ such that $g=hk$ and $hcap‎ ‎k$ is an $mathcal h$-subgroup in $g$. we‎ ‎investigate the structure of the finite group $g$ under the‎ ‎assump...