Results 31 to 40 of about 582 (150)
Impaired endometrial receptivity contributes to the poor pregnancy outcomes in women with PCOS. The authors found that decreased endometrial IL‐22 levels and disrupted STAT3‐IGFBP5 signaling pathway contributed to impaired endometrial receptivity. Supplementation with IL‐22 or IGFBP5 exerts a protective effect on implantation failure in PCOS‐like mice,
Baoying Liao +13 more
wiley +1 more source
SPP1 was identified as a key driver of intratumoral fibrosis and hepatocellular carcinoma (HCC) progression through transcriptomic, histological, and functional analyses. Mechanistically, SPP1 promotes HSC activation and fibrosis via the SPP1–CD44–GLI1 axis, and pharmacologic inhibition of Hedgehog signaling effectively reduces tumor growth and ...
Atsushi Nara +16 more
wiley +1 more source
The Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets [PDF]
In recent years, researchers have studied the use of different iteration processes from fixed point theory in the generation of complex fractals. For instance, the Mann, Ishikawa, Noor, Jungck–Mann and Jungck–Ishikawa iterations have been used.
Nazeer, Waqas +2 more
core +1 more source
Fixed point approximation under Mann iteration beyond Ishikawa [PDF]
summary:Consider the Mann iteration $x_{n+1} = ( 1 - \alpha_n ) x_n + \alpha_n Tx_n$ for a nonexpansive mapping $T\colon K \to K$ defined on some subset $K$ of the normed space $X$.
Hester, Anthony, Morales, Claudio H.
core +1 more source
It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T : H⟶H be asymptotically nonexpansive mapping with F(T) ≠ ∅ ∅ and let xnn≥0 be defined by xn+1 = σnzn + bn(Tnσnzn − σnzn) + εn, ∀n ≥ 1.
Emmanuel Akaligwo +5 more
wiley +1 more source
Convergence of Picard–CR Iterative Algorithm and Applications
In applied mathematics, graph theory (GT) is a notably compelling area of study. In the last 50 years, the number of mathematicians making contributions to research in this field has consistently increased. This rising interest is mainly a result of the significant real‐world applications it offers.
Suheyla Elmas, Marko Kostic
wiley +1 more source
On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces
The purpose of this paper is to consider a new implicit iteration and study its strong convergence, stability, and data dependence. It is proved through numerical examples that newly introduced iteration has better convergence rate than well known ...
Renu Chugh, Preety Malik, Vivek Kumar
doaj +1 more source
On the Fixed Points for Ćirić–Reich–Rus Contractive Type Mappings in Complex Valued Metric Spaces
In this article, we investigate Ćirić–Reich–Rus contractive type mappings with rational inequality in complex‐valued metric spaces (C‐VMSs) and establish some fixed point results. We establish the well‐posedness of the considered problem and examine the relation between the fixed points of the mapping and those of its iterates, confirming the periodic ...
Zafar Iqbal +4 more
wiley +1 more source
Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
wiley +1 more source
We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp.
Olaleru, JO, JO Olaleru
core +1 more source

