Results 31 to 40 of about 173,242 (326)

Optimal Regularizing Effect for Scalar Conservation Laws [PDF]

open access: yes, 2012
We investigate the regularity of bounded weak solutions of scalar conservation laws with uniformly convex flux in space dimension one, satisfying an entropy condition with entropy production term that is a signed Radon measure.
Golse, François, Perthame, Benoît
core   +2 more sources

Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces

open access: yesDiscrete Dynamics in Nature and Society, 2010
We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space.
Murat Ozdemir   +2 more
doaj   +1 more source

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

open access: yesAbstract 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

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

open access: yesAbstract 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   +2 more
doaj   +1 more source

Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

open access: yesFixed Point Theory and Applications, 2018
Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗ $E^{*}$. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to ...
C. E. Chidume, M. O. Nnakwe
doaj   +1 more source

Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees

open access: yes, 2015
We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
core   +1 more source

A uniformly convex hereditarily indecomposable banach space [PDF]

open access: yesIsrael Journal of Mathematics, 1997
A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
openaire   +5 more sources

On strong asymptotic uniform smoothness and convexity

open access: yes, 2017
We introduce the notions of strong asymptotic uniform smoothness and convexity. We show that the injective tensor product of strongly asymptotically uniformly smooth spaces is asymptotically uniformly smooth.
García-Lirola, Luis, Raja, Matías
core   +1 more source

Which Chromium–Sulfur Compounds Exist as 2D Material?

open access: yesAdvanced Functional Materials, EarlyView.
2D chromium sulfides synthesized using molecular beam epitaxy on graphene. Structural characterization reveals two novel 2D materials, Cr2S3‐2D, which lacks a direct bulk counterpart, and Cr223S${\rm Cr}_{2\frac{2}{3}}{\rm S}$4‐2D, a minimum thickness version of Cr5S6. However, attempts to synthesize CrS2 are unsuccessful. Both new 2D phases are stable
Affan Safeer   +5 more
wiley   +1 more source

Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications

open access: yesJournal of Applied Mathematics, 2013
Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space.
Zi-Ming Wang, Poom Kumam
doaj   +1 more source

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