نتایج جستجو برای: weakly picard operator

تعداد نتایج: 138649  

Journal: :Filomat 2022

In this paper, we introduce and investigate new concepts of L-weakly M-weakly demicompact operators. Let E be a Banach lattice. An operator T : ? is called demicompact, if for every norm bounded sequence (xn) in BE such that {xn Txn, n N} an compact subset E, have {xn, E. Additionally, disjoint ?xn ?Txn? 0, ?xn? 0. (resp. M-weakly) operators generalize known classes which are We also elaborate ...

Journal: :Int. J. Math. Mathematical Sciences 2011
Afif Ben Amar Mohamed Amine Cherif Maher Mnif

We establish some versions of fixed-point theorem in a Frechet topological vector space E. The main result is that every map A BC where B is a continuous map and C is a continuous linear weakly compact operator from a closed convex subset of a Frechet topological vector space having the Dunford-Pettis property into itself has fixed-point. Based on this result, we present two versions of the Kra...

2004
M. O. Olatinwo

In this paper, we establish a fixed point theorem for multi-valued operators in a complete b−metric space using the concept of Berinde and Berinde [9] on multi-valued weak contractions for the Picard iteration in a metric space. Our main result generalizes, extends and improves some of the recent results of Berinde and Berinde [9] as well as those of Daffer and Kaneko [17] and also unifies seve...

Journal: :Letters in Mathematical Physics 2023

In even space-time dimensions the multi-loop Feynman integrals are of rational function in projective space. By using an algorithm that extends Griffiths--Dwork reduction for case hypersurfaces with singularities, we derive Fuchsian linear differential equations, Picard--Fuchs respect to kinematic parameters a large class massive integrals. With this approach obtain operator high multiplicities...

2007
Ernst P. Stephan

1.1 INTRODUCTION This paper gives a survey on additive Schwarz methods applied to the h and p versions of the boundary element method. We consider weakly singular and hypersingular integral equations, namely the single layer potential operator and the normal derivative of the double layer potential operator. That means we have to consider weak formulations of the form

2018
Lingjuan Ye Congcong Shen L. Ye C. Shen

In this paper we introduce the notion of weakly (s, r)-contractive multi-valued operator on b-metric space and establish some fixed point theorems for this operator. In addition, an application to the differential equation is given to illustrate usability of obtained results.

2008
ALESSANDRO RUZZI

We classify the smooth projective symmetric G-varieties with Picard number one (and G semisimple). Moreover we prove a criterion for the smoothness of the simple (normal) symmetric varieties whose closed orbit is complete. In particular we prove that, given a such variety X which is not exceptional, then X is smooth if and only if an appropriate toric variety contained in X is smooth. keywords:...

2009
Jingyan Yue Guangwei Yuan Zhiqiang Sheng

A new nonlinear iterative method for nonlinear parabolic equation is developed and applied to a multimaterial nonequilibrium radiation diffusion problem on distorted meshes. The new iterative method is named by Picard-Newton method (PN for short). Solution process of the method is as follows. First, by linearizing the time-discretized nonlinear partial differential equation(PDE), we can get an ...

2012
Boris Lerner

Orders on surfaces provided a rich source of examples of noncommutative surfaces. In [HS05] the authors prove the existence of the analogue of the Picard scheme for orders and in [CK11] the Picard scheme is explicitly computed for an order on P ramified on a smooth quartic. In this paper, we continue this line of work, by studying the Picard and Hilbert schemes for an order on P ramified on a u...

2011
Boris Lerner

Orders on surfaces provided a rich source of examples of noncommutative surfaces. In [HS05] the authors prove the existence of the analogue of the Picard scheme for orders and in [CK11] the Picard scheme is explicitly computed for an order on P ramified on a smooth quartic. In this paper, we continue this line of work, by studying the Picard and Hilbert schemes for an order on P ramified on a u...

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