We provide a local convergence analysis of Newton’s method under a weak gamma condition on a Banach space setting. It turns out that under the same computational cost and weaker hypotheses than in [4], [5], [7], we can obtain a larger radius of convergence and finer estimates on the distances involved. AMS (MOS) Subject Classification Codes: 65G99, 65B05, 47H17, 49M15.

Rhythmic neuronal activity provides a frame for information coding by co-active cell assemblies. Abnormal brain rhythms are considered as potential pathophysiological mechanisms causing mental disease, but the underlying network defects are largely unknown. We find that mice expressing truncated Disrupted-in-Schizophrenia 1 (Disc1), which mirror a high-prevalence genotype for human psychiatric ...

Relations between rough sets and algebraic structures have been already considered by many mathematicians. Motivated by studying the properties of rough (m,n) bi-Γ -hyperideals in Γ -semihypergroups, we now introduced the notion of prime (m,n) biΓ -hyperideals in Γ -semihypergroups and investigated several properties of these prime (m,n) bi-Γ -hyperideals. Also we applied the rough set theory t...

the aim of this paper is to initiate and investigate new soft sets over semihypergroups, named special soft sets and transitive soft sets and denoted by $s_{h}$ and  $t_{h},$ respectively. it is shown that $t_{h}=s_{h}$ if and only if $beta=beta^{*}.$ we also introduce the derived semihypergroup from a special soft set and study some properties of this class of semihypergroups.

The magnetic moment ($a_\gamma$) and weak ($a_W$) of charged leptons quarks are sensitive to quantum effects new physics heavy resonances. In effective field theory $a_\gamma$ $a_W$ induced by two independent operators, therefore, one has measure both the shed lights on physics. $a_W$'s SM fermions measured at LEP. this work, we analyze contributions from operators in processes $pp\to H \gamma$...

In this work, we observe that in the presence of string cloud parameter $a$ and quintessence $\gamma$, with equation state $\omega_q={-2}/{3}$ radius shadow Schwarzschild black hole increases as compared pure case. The existence both quintessential dark energy strings magnify size hence strength gravitational field around increases. Using data collected by Event Horizon Telescope (EHT) collabor...