Results 31 to 40 of about 4,974,492 (203)

Weak convergence and weak compactness for multifunctions with values in a separable Banach space [PDF]

, 1990
In this paper we extend the notion of weak convergence to Banach space valued integrable multifunctions. We prove some properties of this mode of convergence and we show that under certain hypotheses the space of uniformly bounded, w w ...
Papageorgiou, N, Nikolaos S. Papageorgiou   +1 more
core   +1 more source

Hermite-Hadamard's Inequality and the p-HH-Norm on the Cartesian Product of Two Copies of a Normed Space [PDF]

, 2008
The Cartesian product of two copies of a normed space is naturally equipped with the well-known p-norm. In this paper, another notion of norm is introduced, and will be called the p-HH-norm. This norm is an extension of the generalised logarithmic mean
Dragomir, Sever S, Kikianty, Eder
core   +5 more sources

Generalized Projections on Closed Nonconvex Sets in Uniformly Convex and Uniformly Smooth Banach Spaces

Journal of Function Spaces, 2015
The present paper is devoted to the study of the generalized projection πK:X∗→K, where X is a uniformly convex and uniformly smooth Banach space and K is a nonempty closed (not necessarily convex) set in X. Our main result is the density of the points x∗∈
Messaoud Bounkhel
doaj   +1 more source

Complex uniformly convex Banach spaces and Riesz measures.

, 2004
The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von~Neumann-Schatten trace ideals.
Ransford, T. J., Blower, Gordon
core   +4 more sources

p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2

Abstract and Applied Analysis, 2014
We first prove characterizations of p-uniform convexity and q-uniform smoothness. We next give a formulation on absolute normalized norms on ℂ2. Using these, we present some examples of Banach spaces.
Tomonari Suzuki
doaj   +1 more source

Stability Results and Reckoning Fixed Point Approaches by a Faster Iterative Method with an Application

Axioms, 2023
In this manuscript, we investigate some convergence and stability results for reckoning fixed points using a faster iterative scheme in a Banach space. Also, weak and strong convergence are discussed for close contraction mappings in a Banach space and ...
Hasanen A. Hammad, Doha A. Kattan
doaj   +1 more source

Separated sequences in uniformly convex Banach spaces [PDF]

Colloquium Mathematicum, 2005
We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $δ$ contains a $(1+\frac12δ(\frac23))$-separated sequence.
openaire   +3 more sources

On iterative fixed point convergence in uniformly convex Banach space and Hilbert space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
Some fixed point convergence properties are proved for compact and demicompact maps acting over closed, bounded and convex subsets of a real Hilbert space.
Srivastava Julee, Singh Neeta
doaj   +1 more source

The Law of the Iterated Logarithm in Uniformly Convex Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1986
We give necessary and sufficient conditions for a random variable X X with values in a uniformly convex Banach space
openaire   +1 more source

Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces

Abstract and Applied Analysis, 2013
We introduce Mann-type viscosity approximation methods for finding solutions of a multivalued variational inclusion (MVVI) which are also common ones of finitely many variational inequality problems and common fixed points of a countable family of ...
Lu-Chuan Ceng, Abdul Latif, Abdullah E. Al-Mazrooei   +2 more
doaj   +1 more source