Results 31 to 40 of about 31,974 (245)
Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
Abstract and Applied Analysis, 2010 We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
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Discrete 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
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Best simultaneous approximation to totally bounded sequences in Banach spaces [PDF]
, 2008 This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the assumption that the Banach space is ...
Li, Chong +2 more
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Banach Spaces Which Are Dual tok-Uniformly Convex Spaces
Journal of Mathematical Analysis and Applications, 1997 The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No.
MALUTA, ELISABETTA, PRUS S.
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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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On the fixed points of nonexpansive mappings in direct sums of Banach spaces [PDF]
, 2011 We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum of X and Y with a strictly monotone norm has ...
Wiśnicki, Andrzej
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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
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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 +2 more
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Fixed point theorems in uniformly convex Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1974 The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.
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Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
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