a definition of two jointly asymptotically nonexpansive mappings s and t on uniformly convex banach space e is studied to approximate common fixed points of two such mappings through weak and strong convergence of an ishikawa type iteration scheme generated by s and t on a bounded closed and convex subset of e. as a consequence of the notion of two jointly asymptotically nonexpansive maps, we c...

In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternat...

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

Let f ∈ L 2 (S 2) be an arbitrary fixed function on the unit sphere S 2 , with a sufficiently small norm, and D ⊂ R 3 be an arbitrary fixed bounded domain. Let k > 0 and α ∈ S 2 be fixed. It is proved that there exists a potential q ∈ L 2 (D) such that the corresponding scattering amplitude A(α ′) = A q (α ′) = A q (α ′ , α, k) approximates f (α ′) with arbitrary high accuracy: f (α ′) − A q (α...

We study bifurcations of a three-dimensional diffeomorphism, g 0 , that has a quadratic homoclinic tangency to a saddle-focus fixed point with multipliers (λe iϕ , λe −iϕ , γ), where 0 < λ < 1 < |γ| and |λ 2 γ| = 1. We show that in a three-parameter family, g ε , of dif-feomorphisms close to g 0 , there exist infinitely many open regions near ε = 0 where the corresponding normal form of the fir...

Let $R$ be a commutative Noetherian ring with non-zero identity, $fa$ an ideal of $R$, and $X$ an $R$--module. Here, for fixed integers $s, t$ and a finite $fa$--torsion $R$--module $N$, we first study the membership of $Ext^{s+t}_{R}(N, X)$ and $Ext^{s}_{R}(N, H^{t}_{fa}(X))$ in the Serre subcategories of the category of $R$--modules. Then, we present some conditions which ensure the exi...

MSU-S mesoporous catalyst with [SiO2]/[Al2O3] ratio of 55 was synthesized using tetrapropylammonium hydroxide (TPAOH) as a structure directing agent and hexadecyltrimethylammonium bromide (CTAB) as a surfactant. The catalytic activity of the calcined sample was evaluated for the dehydration of methanol to dimethyl ether (DME) in a vertical fixed bed microreactor...

In order to perform Preventive Maintenance (PM), two approaches have evolved in the literature. The traditional approach is based on the use of statistical and reliability analysis of equipment failure. Under statistical-reliability (S-R)-based PM, the objective of achieving the minimum total cost is pursued by establishing fixed PM intervals, which are statistically optimal, at which to replac...

Wind environment in the populated built area especially in campus is important. This s tudy tes ted57 crossroad spots over of the whole campus in North China University of Technology (NCUT). The data of wind speed and direction were measured at fixed time and fixed place. The average, maximum values as well as the speed variation scale were calculated. Wind comfort criteria were adopted t...