Results 31 to 40 of about 265,755 (161)

The equivalence of Mann and Ishikawa iterations dealing with $ \psi $-uniformly pseudocontractive maps without bounded range

open access: yesTamkang Journal of Mathematics, 2006
We prove that Mann and Ishikawa iterations are equivalent models dealing with $ \psi $-uniformly pseudocontractive or d-weakly contractive maps without bounded range.
B. E. Rhoades, S¸TEFAN M. S¸OLTUZ
openaire   +2 more sources

The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings [PDF]

open access: yes, 2014
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose,
Ariza-Ruiz, David   +2 more
core   +2 more sources

The Equivalence of Convergence Results of Modified Mann and Ishikawa Iterations with Errors without Bounded Range Assumption

open access: yesAbstract and Applied Analysis, 2012
Let E be an arbitrary uniformly smooth real Banach space, let D be a nonempty closed convex subset of E, and let T:D→D be a uniformly generalized Lipschitz generalized asymptotically Φ-strongly pseudocontractive mapping with q∈F(T)≠∅. Let {an},{bn},{cn},{
Zhiqun Xue, Yaning Wang, Haiyun Zhou
doaj   +1 more source

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

open access: yesAnalele 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

When is multiplication in a Banach algebra open? [PDF]

open access: yes, 2017
We develop the theory of Banach algebras whose multiplication (regarded as a bilinear map) is open. We demonstrate that such algebras must have topological stable rank 1, however the latter condition is strictly weaker and implies only that products of ...
Draga, Szymon, Kania, Tomasz
core   +1 more source

Schwarzian Derivatives and Uniform Local Univalence

open access: yes, 2007
Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin   +2 more
core   +2 more sources

Existence Theorems on Solvability of Constrained Inclusion Problems and Applications

open access: yesAbstract and Applied Analysis, 2018
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
doaj   +1 more source

Adaptive Neural Event-Triggered Control of MIMO Pure-Feedback Systems With Asymmetric Output Constraints and Unmodeled Dynamics

open access: yesIEEE Access, 2020
In this paper, the issue of adaptive neural event-triggered control (ETC) is studied for uncertain block-structure multi-input multi-output (MIMO) constrained non-affine nonlinear systems with unmodeled dynamics.
Yu Hua, Tianping Zhang
doaj   +1 more source

Optimal approximate fixed point results in locally convex spaces

open access: yes, 2012
Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino   +19 more
core   +1 more source

Iterative Methods for Pseudocontractive Mappings in Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
Let E a reflexive Banach space having a uniformly Gâteaux differentiable norm. Let C be a nonempty closed convex subset of E, T:C→C a continuous pseudocontractive mapping with F(T)≠∅, and A:C→C a continuous bounded strongly pseudocontractive mapping with
Jong Soo Jung
doaj   +1 more source

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