Results 221 to 230 of about 9,725 (264)

Generalized \((\varphi,\psi)\)-weak contractions involving \((f, g)\)-reciprocally continuous maps in fuzzy metric spaces

, 2013
Summary: We introduce the notion of \((f,g)\)-reciprocal continuity in fuzzy metric spaces and prove a common fixed point theorem for a pair of sub-compatible maps by employing a generalized \((\varphi,\psi)\)-weak contraction. As an application of our result, we prove a theorem for a \((\varphi,\psi)\)-weak cyclic contraction in fuzzy metric spaces.
Murthy, PP, Mishra, U, Rashmi, VETRO, Calogero   +3 more
openaire   +3 more sources

W-Approximative Compactness and Continuity of the Generalized Projection Operator in Banach Spaces

Journal of Approximation Theory, 2010
We introduce the notion of W-approximative (weak) compactness for a nonempty subset of a smooth Banach space, and present its characterizations. With this notion, we give the sufficient conditions for continuity and the upper semi-continuity of the ...
Wei-Bo Guan
exaly   +1 more source

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Picosecond supercontinuum generation seeded by a weak continuous wave

Chinese Physics B, 2013
We experimentally investigate the spectral details of a picosecond supercontinuum pumped at 1064 nm and seeded by a weak continuous wave (~20000 times weaker than the pulse peak power) at several power levels in photonic crystal fibers. Seeding at different wavelengths leads to different spectral details and the effects to the bandwidth of ...
Ying Li, Jing Hou, Jin-Yong Leng, Wen-Liang Wang, Zong-Fu Jiang   +4 more
openaire   +1 more source

Influence of a Weak Continuous Wave Trigger on Continuous Wave Pumped Supercontinuum Generation

Frontiers in Optics 2015, 2015
We demonstrate a simple continuous wave trigger scheme that can greatly enhance the stability of the continuous wave pumped supercontinuum generation.
Cai Wen, Hui Huang, Zihao Cheng, Qian Li
openaire   +1 more source

Continuous Wave Pumped Supercontinuum Generation Using a Weak Continuous Wave Trigger

Photonics and Fiber Technology 2016 (ACOFT, BGPP, NP), 2016
We numerically demonstrate enhancement of bandwidth and stability of continuous wave pumped supercontinuum generation by using weak continuous wave triggers.
Cai Wen, Qian Li
openaire   +1 more source

Generic continuity of restricted weak upper semi-continuous set-valued mappings

Set-Valued Analysis, 1996
A multifunction \(F : X \to Y\) from a topological space into normed linear space \(Y\) is called restricted weak usc at \(x \in X\) if given a neighbourhood \(W\) of zero in \(Y\) endowed with the weak topology there exists a neighbourhood \(U\) of \(x\) such that \(F(U) \subset F(x) + W\).
Giles, J. R., Moors, W. B.
openaire   +2 more sources

Weak KKM theorems in generalized finitely continuous space with applications

Applied Mathematics and Mechanics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Min, Wang, Lei
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A weak generalized localization of multiple Fourier series of continuous functions with a certain module of continuity

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bloshanskii, I. L., Matseevich, T. A.
openaire   +1 more source

Weak continuity on generalized topological spaces

Acta Mathematica Hungarica, 2008
We introduce the notions of weak (g, g′)-continuity and weak (ψ, ψ′)-continuity on GTS’s and GNS’s, respectively, and investigate characterizations for such functions and relationships between weak (g, g′)-continuity and weak (ψ, ψ′)-continuity.
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Weak and generic bang-bang properties for continuous evolution inclusions and Baire’s method

Nonlinear Differential Equations and Applications NoDEA, 2012
The authors study the bang-bang property for the pair of evolution inclusions \[ x'(t)\in Ax(t)+F(t,x(t)),\quad x(t_{0})=x_{0},\tag{\(*\)} \] \[ x'(t)\in Ax(t)+\text{ext}F(t,x(t)),\quad x(t_{0})=x_{0},\tag{\(**\)} \] where ext\(F(t,x(t))\) represents the set of all extreme points of \(F(t,x(t))\).
DE BLASI, FRANCESCO SAVERIO, Pianigiani, G.   +1 more
openaire   +4 more sources