Results 111 to 120 of about 31,974 (245)

New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]

, 2013
Fang Zhang, Huan Zhang, Yulong Zhang
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Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces

Fixed Point Theory and Applications, 2010
For a countable family of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-
Wangkeeree Rabian, Kamraksa Uthai
doaj  

Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces [PDF]

, 2000
Lei Deng, Shenghong Li
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Denseness of Numerical Radius Attaining Holomorphic Functions

Journal of Inequalities and Applications, 2009
We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
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Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

Fixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
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Fibers over the sphere of a uniformly convex Banach space.

Michigan Mathematical Journal, 1998
Let \(B\) be the open unit ball of an infinite-dimensional complex Banach space \(X\). In this paper the author studies the boundary behavior of bounded analytic functions on \(B\) when \(X\) is uniformly convex. Several interesting results are obtained regarding the structure of the spectrum of \(H^\infty (B)\).
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]

Calc Var Partial Differ Equ, 2023
Sodini GE.
europepmc   +1 more source

No-Dimensional Helly’s Theorem in Uniformly Convex Banach Spaces

Studia Scientiarum Mathematicarum Hungarica
We study the “no-dimensional” analogue of Helly’s theorem in Banach spaces. Specifically, we obtain the following no-dimensional Helly-type results for uniformly convex Banach spaces: Helly’s theorem, fractional Helly’s theorem, colorful Helly’s theorem, and colorful fractional Helly’s theorem.The combinatorial part of the proofs for these Helly-type ...
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Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings

Nonlinear Analysis
This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori, Ravi P. Agarwal, Donal O'Regan   +2 more
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Locally uniformly convex norms in Banach spaces and their duals [PDF]

, 2006
Richard Haydon
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