نتایج جستجو برای: stratified l ordered convergence space

تعداد نتایج: 1268892  

2002
BINOD CHANDRA TRIPATHY

A lacunary sequence is an increasing integer sequence θ = (kr) such that k0 =0, kr−kr−1 →∞ as r →∞. A sequence x is called Sθ(∆)− convergent to L provided that for each ε > 0, limr(kr − kr−1) {the number of kr−1 < k ≤ kr : |∆xk−L| ≥ ε} = 0, where ∆xk = ∆xk− ∆xk+1. The purpose of this paper is to introduce the concept of ∆ − lacunary statistical convergence and ∆-lacunary strongly convergence an...

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1959

For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence.  We study a functional characterization of the covering property of Hurewicz.

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.

Journal: :Mathematics 2021

The principal goal of this work is to investigate new sufficient conditions for the existence and convergence positive definite solutions certain classes matrix equations. Under specific assumptions, basic tool in our study a monotone mapping, which admits unique fixed point setting partially ordered Banach space. To estimate these equations, we use Krasnosel’skiĭ iterative technique. We also d...

Journal: :Proceedings of the American Mathematical Society 1954

2017
Mohd. Sarfaraz MK Ahmad A Kılıçman

The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2...

2014
Jinlu Li Ching-Feng Wen Jen-Chih Yao

and Applied Analysis 3 Lemma 3. Let (X; ≽) be a Banach lattice. Then the positive coneX is weakly closed. Proof. It is clear that the positive coneX of the Banach lattice X is convex. We have mentioned that the positive coneX of the Banach latticeX is norm closed. ApplyingMazur’s lemma (see [12] or [15]), we have in a Banach space, a convex set is norm closed if and only if it is weakly closed....

1993
Jerzy Tyszkiewicz

We show that for logics that capture DSPACE(log n) over ordered structures, and for recursive probability distributions on the class of nite models of the signature, the 0{1 law and the convergence law hold if and only if certain boundedness conditions are satissed. As one of the applications , we consider the conjecture of Kolaitis and Vardi, stating that for arbitrary probability distribution...

2012
ANTON R. SCHEP

1.1. Normed spaces. Recall that a (real) vector space V is called a normed space if there exists a function ‖ · ‖ : V → R such that (1) ‖f‖ ≥ 0 for all f ∈ V and ‖f‖ = 0 if and only if f = 0. (2) ‖af‖ = |a| ‖f‖ for all f ∈ V and all scalars a. (3) (Triangle inequality) ‖f + g‖ ≤ ‖f ||+ ‖g‖ for all f, g ∈ V . If V is a normed space, then d(f, g) = ‖f−g‖ defines a metric on V . Convergence w.r.t ...

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