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Displaying 221 – 240 of 11160

A Galois connection between distance functions and inequality relations

Árpád Száz (2002)

Mathematica Bohemica

Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set $S$ and inequality relations on $X_{S} = S \times ℝ$ . Moreover, we also investigate a relationship between the functions of $S$ and $X_{S}$ .

A general approximation theorem of Whitney type.

Michael Langenbruch (2003)

RACSAM

We show that Whitney?s approximation theorem holds in a general setting including spaces of (ultra)differentiable functions and ultradistributions. This is used to obtain real analytic modifications for differentiable functions including optimal estimates. Finally, a surjectivity criterion for continuous linear operators between Fréchet sheaves is deduced, which can be applied to the boundary value problem for holomorphic functions and to convolution operators in spaces of ultradifferentiable functions...

A general asymptotic fixed point theorem.

A.J. Tromba (1982)

Journal für die reine und angewandte Mathematik

A general coincidence theory for set-valued maps.

O'Regan, D. (1999)

Zeitschrift für Analysis und ihre Anwendungen

A general composite algorithm for solving general equilibrium problems and fixed point problems in Hilbert spaces. (A general composite algorithms for solving general equilibrium problems and fixed point problems in Hilbert spaces.)

Wangkeeree, Rattanaporn, Kamraksa, Uthai, Wangkeeree, Rabian (2011)

Abstract and Applied Analysis

A general differentiation theorem for multiparameter additive processes

Ryotaro Sato (2002)

Colloquium Mathematicae

Let $(L, | | \cdot | |_{L})$ be a Banach lattice of equivalence classes of real-valued measurable functions on a σ-finite measure space and $T = T (u) : u = (u ₁, . . ., u_{d}), u_{i} > 0, 1 \leq i \leq d$ be a strongly continuous locally bounded d-dimensional semigroup of positive linear operators on L. Under suitable conditions on the Banach lattice L we prove a general differentiation theorem for locally bounded d-dimensional processes in L which are additive with respect to the semigroup T.

A general differentiation theorem for n-dimensional additive processes.

R. Emilion (1985)

Mathematica Scandinavica

A general differentiation theorem for superadditive processes

Ryotaro Sato (2000)

Colloquium Mathematicae

Let L be a Banach lattice of real-valued measurable functions on a σ-finite measure space and T= $T_{t}$ : t < 0 be a strongly continuous semigroup of positive linear operators on the Banach lattice L. Under some suitable norm conditions on L we prove a general differentiation theorem for superadditive processes in L with respect to the semigroup T.

A general duality principle for the sum of two operators.

Attouch, H., Théra, M. (1996)

Journal of Convex Analysis

A general existence principle for fixed point theorems in $D$ -metric spaces.

Dhage, B.C., Pathan, A.M., Rhoades, B.E. (2000)

International Journal of Mathematics and Mathematical Sciences

A general framework for extending means to higher orders

Jimmie Lawson, Yongdo Lim (2008)

Colloquium Mathematicae

Although there is an extensive literature on various means of two positive operators and their applications, these means do not typically readily extend to means of three and more operators. It has been an open problem to define and prove the existence of these higher order means in a general setting. In this paper we lay the foundations for such a theory by showing how higher order means can be inductively defined and established in general metric spaces, in particular, in convex metric spaces....

A general Fredholm theory I: a splicing-based differential geometry

Helmut Hofer, Kris Wysocki, Eduard Zehnder (2007)

Journal of the European Mathematical Society

A general homogenization result of spectral problem for linearized elasticity in perforated domains

Mohamed Mourad Lhannafi Ait Yahia, Hamid Haddadou (2021)

Applications of Mathematics

The goal of this paper is to establish a general homogenization result for linearized elasticity of an eigenvalue problem defined over perforated domains, beyond the periodic setting, within the framework of the $H^{0}$ -convergence theory. Our main homogenization result states that the knowledge of the fourth-order tensor $A^{0}$ , the $H^{0}$ -limit of $A^{ε}$ , is sufficient to determine the homogenized eigenvalue problem and preserve the structure of the spectrum. This theorem is proved essentially by using Tartar’s method...